# 457

## 457 is a prime number. Like all primes greater than two, it is odd and has no factors apart from itself and one.

What does the number 457 look like?

As a prime, it is not composed of any other numbers and has no internal structure.

457 is a prime number. Like all primes (except two), it is an odd number.

## Prime factorization of 457:

### 457

See below for interesting mathematical facts about the number 457 from the Numbermatics database.

### Names of 457

• Cardinal: 457 can be written as Four hundred fifty-seven.

### Scientific notation

• Scientific notation: 4.57 × 102

### Factors of 457

• Number of distinct prime factors ω(n): 1
• Total number of prime factors Ω(n): 1
• Sum of prime factors: 457

### Divisors of 457

• Number of divisors d(n): 2
• Complete list of divisors:
• Sum of all divisors σ(n): 458
• Sum of proper divisors (its aliquot sum) s(n): 1
• 457 is a deficient number, because the sum of its proper divisors (1) is less than itself. Its deficiency is 456

### Bases of 457

• Binary: 1110010012
• Base-36: CP

### Squares and roots of 457

• 457 squared (4572) is 208849
• 457 cubed (4573) is 95443993
• The square root of 457 is 21.3775583265
• The cube root of 457 is 7.7026246183

### Scales and comparisons

How big is 457?
• 457 seconds is equal to 7 minutes, 37 seconds.
• To count from 1 to 457 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 457 cubic inches would be around 0.6 feet tall.

### Recreational maths with 457

• 457 backwards is 754
• The number of decimal digits it has is: 3
• The sum of 457's digits is 16
• More coming soon!