# 4480

## 4,480 is an even composite number composed of three prime numbers multiplied together.

What does the number 4480 look like?

This visualization shows the relationship between its 3 prime factors (large circles) and 32 divisors.

4480 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of thirty-two divisors.

## Prime factorization of 4480:

### 27 × 5 × 7

(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 7)

See below for interesting mathematical facts about the number 4480 from the Numbermatics database.

### Names of 4480

• Cardinal: 4480 can be written as Four thousand, four hundred eighty.

### Scientific notation

• Scientific notation: 4.48 × 103

### Factors of 4480

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 14

### Divisors of 4480

• Number of divisors d(n): 32
• Complete list of divisors:
• Sum of all divisors σ(n): 12240
• Sum of proper divisors (its aliquot sum) s(n): 7760
• 4480 is an abundant number, because the sum of its proper divisors (7760) is greater than itself. Its abundance is 3280

### Bases of 4480

• Binary: 10001100000002
• Base-36: 3GG

### Squares and roots of 4480

• 4480 squared (44802) is 20070400
• 4480 cubed (44803) is 89915392000
• The square root of 4480 is 66.9328021227
• The cube root of 4480 is 16.4851411991

### Scales and comparisons

How big is 4480?
• 4,480 seconds is equal to 14 minutes, 40 seconds.
• To count from 1 to 4,480 would take you about fourteen 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 4480 cubic inches would be around 1.4 feet tall.

### Recreational maths with 4480

• 4480 backwards is 0844
• 4480 is a Harshad number.
• The number of decimal digits it has is: 4
• The sum of 4480's digits is 16
• More coming soon!