457032 has 32 divisors (see below), whose sum is σ = 1159200. Its totient is φ = 150144.

The previous prime is 457021. The next prime is 457043. The reversal of 457032 is 230754.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (457021) and next prime (457043).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 457032.

It is an unprimeable number.

457032 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3219 + ... + 3357.

It is an arithmetic number, because the mean of its divisors is an integer number (36225).

2⁴⁵⁷⁰³² is an apocalyptic number.

It is an amenable number.

457032 is an abundant number, since it is smaller than the sum of its proper divisors (702168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

457032 is a wasteful number, since it uses less digits than its factorization.

457032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 457032 is about 676.0414188495. The cubic root of 457032 is about 77.0280439818.

Adding to 457032 its reverse (230754), we get a palindrome (687786).

The spelling of 457032 in words is "four hundred fifty-seven thousand, thirty-two".