# 456

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

What does the number 456 look like?

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

456 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 456:

### 23 × 3 × 19

(2 × 2 × 2 × 3 × 19)

See below for interesting mathematical facts about the number 456 from the Numbermatics database.

### Names of 456

• Cardinal: 456 can be written as Four hundred fifty-six.

### Scientific notation

• Scientific notation: 4.56 × 102

### Factors of 456

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 5
• Sum of prime factors: 24

### Divisors of 456

• Number of divisors d(n): 16
• Complete list of divisors:
• Sum of all divisors σ(n): 1200
• Sum of proper divisors (its aliquot sum) s(n): 744
• 456 is an abundant number, because the sum of its proper divisors (744) is greater than itself. Its abundance is 288

### Bases of 456

• Binary: 1110010002
• Base-36: CO

### Squares and roots of 456

• 456 squared (4562) is 207936
• 456 cubed (4563) is 94818816
• The square root of 456 is 21.3541565041
• The cube root of 456 is 7.6970022625

### Scales and comparisons

How big is 456?
• 456 seconds is equal to 7 minutes, 36 seconds.
• To count from 1 to 456 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 456 cubic inches would be around 0.6 feet tall.

### Recreational maths with 456

• 456 backwards is 654
• The number of decimal digits it has is: 3
• The sum of 456's digits is 15
• More coming soon!