480 is an even composite number composed of three prime numbers multiplied together.

What does the number 480 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 24 divisors.

480 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of twenty-four divisors.

Prime factorization of 480:

25 × 3 × 5

(2 × 2 × 2 × 2 × 2 × 3 × 5)

See below for interesting mathematical facts about the number 480 from the Numbermatics database.

Names of 480

  • Cardinal: 480 can be written as Four hundred eighty.

Scientific notation

  • Scientific notation: 4.8 × 102

Factors of 480

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 7
  • Sum of prime factors: 10

Divisors of 480

  • Number of divisors d(n): 24
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1512
  • Sum of proper divisors (its aliquot sum) s(n): 1032
  • 480 is an abundant number, because the sum of its proper divisors (1032) is greater than itself. Its abundance is 552

Bases of 480

  • Binary: 1111000002
  • Hexadecimal: 0x1E0
  • Base-36: DC

Squares and roots of 480

  • 480 squared (4802) is 230400
  • 480 cubed (4803) is 110592000
  • The square root of 480 is 21.9089023001
  • The cube root of 480 is 7.8297352823

Scales and comparisons

How big is 480?
  • 480 seconds is equal to 8 minutes.
  • To count from 1 to 480 would take you about four minutes.

    This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)

  • A cube with a volume of 480 cubic inches would be around 0.7 feet tall.

Recreational maths with 480

  • 480 backwards is 084
  • 480 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 480's digits is 12
  • More coming soon!

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"Number 480 - Facts about the integer". Numbermatics.com. 2024. Web. 18 April 2024.

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Numbermatics. (2024). Number 480 - Facts about the integer. Retrieved 18 April 2024, from https://numbermatics.com/n/480/

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The information we have on file for 480 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!

Keywords: Divisors of 480, math, Factors of 480, curriculum, school, college, exams, university, Prime factorization of 480, STEM, science, technology, engineering, physics, economics, calculator, four hundred eighty.

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