457904 has 10 divisors (see below), whose sum is σ = 887220. Its totient is φ = 228944.

The previous prime is 457903. The next prime is 457913. The reversal of 457904 is 409754.

457904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (457903) by changing a digit.

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 as a sum of consecutive naturals, namely, 14294 + ... + 14325.

It is an arithmetic number, because the mean of its divisors is an integer number (88722).

2⁴⁵⁷⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

457904 is a deficient number, since it is larger than the sum of its proper divisors (429316).

457904 is a wasteful number, since it uses less digits than its factorization.

457904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28627 (or 28621 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 457904 is about 676.6860424155. The cubic root of 457904 is about 77.0770017362.

The spelling of 457904 in words is "four hundred fifty-seven thousand, nine hundred four".