# 480

## 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
• 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!