408

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

What does the number 408 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 16 divisors.

408 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of sixteen divisors.

Prime factorization of 408:

23 × 3 × 17

(2 × 2 × 2 × 3 × 17)

See below for interesting mathematical facts about the number 408 from the Numbermatics database.


Names of 408

  • Cardinal: 408 can be written as Four hundred eight.

Scientific notation

  • Scientific notation: 4.08 × 102

Factors of 408

  • Number of distinct prime factors ω(n): 3
  • Total number of prime factors Ω(n): 5
  • Sum of prime factors: 22

Divisors of 408

  • Number of divisors d(n): 16
  • Complete list of divisors:
  • Sum of all divisors σ(n): 1080
  • Sum of proper divisors (its aliquot sum) s(n): 672
  • 408 is an abundant number, because the sum of its proper divisors (672) is greater than itself. Its abundance is 264

Bases of 408

  • Binary: 1100110002
  • Hexadecimal: 0x198
  • Base-36: BC

Squares and roots of 408

  • 408 squared (4082) is 166464
  • 408 cubed (4083) is 67917312
  • The square root of 408 is 20.1990098767
  • The cube root of 408 is 7.4168595385

Scales and comparisons

How big is 408?
  • 408 seconds is equal to 6 minutes, 48 seconds.
  • To count from 1 to 408 would take you about three 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 408 cubic inches would be around 0.6 feet tall.

Recreational maths with 408

  • 408 backwards is 804
  • 408 is a Harshad number.
  • The number of decimal digits it has is: 3
  • The sum of 408's digits is 12
  • More coming soon!

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The information we have on file for 408 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!

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