457568 has 24 divisors (see below), whose sum is σ = 917280. Its totient is φ = 224640.

The previous prime is 457559. The next prime is 457571. The reversal of 457568 is 865754.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2438 + ... + 2618.

It is an arithmetic number, because the mean of its divisors is an integer number (38220).

2⁴⁵⁷⁵⁶⁸ is an apocalyptic number.

It is an amenable number.

457568 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

457568 is a wasteful number, since it uses less digits than its factorization.

457568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 262 counting only the distinct ones).

The product of its digits is 33600, while the sum is 35.

The square root of 457568 is about 676.4377281022. The cubic root of 457568 is about 77.0581446471.

The spelling of 457568 in words is "four hundred fifty-seven thousand, five hundred sixty-eight".