# 440

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

What does the number 440 look like?

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

440 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 440:

### 23 × 5 × 11

(2 × 2 × 2 × 5 × 11)

See below for interesting mathematical facts about the number 440 from the Numbermatics database.

### Names of 440

• Cardinal: 440 can be written as Four hundred forty.

### Scientific notation

• Scientific notation: 4.4 × 102

### Factors of 440

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 18

### Divisors of 440

• 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): 640
• 440 is an abundant number, because the sum of its proper divisors (640) is greater than itself. Its abundance is 200

### Bases of 440

• Binary: 1101110002
• Base-36: C8

### Squares and roots of 440

• 440 squared (4402) is 193600
• 440 cubed (4403) is 85184000
• The square root of 440 is 20.9761769635
• The cube root of 440 is 7.6059049215

### Scales and comparisons

How big is 440?
• 440 seconds is equal to 7 minutes, 20 seconds.
• To count from 1 to 440 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 440 cubic inches would be around 0.6 feet tall.

### Recreational maths with 440

• 440 backwards is 044
• 440 is a Harshad number.
• The number of decimal digits it has is: 3
• The sum of 440's digits is 8
• More coming soon!