457008 has 20 divisors (see below), whose sum is σ = 1180728. Its totient is φ = 152320.

The previous prime is 457003. The next prime is 457013. The reversal of 457008 is 800754.

It is an interprime number because it is at equal distance from previous prime (457003) and next prime (457013).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (457001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4713 + ... + 4808.

2⁴⁵⁷⁰⁰⁸ is an apocalyptic number.

457008 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

457008 is an abundant number, since it is smaller than the sum of its proper divisors (723720).

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

457008 is a wasteful number, since it uses less digits than its factorization.

457008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9532 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 457008 is about 676.0236682247. The cubic root of 457008 is about 77.0266956405.

The spelling of 457008 in words is "four hundred fifty-seven thousand, eight".