257456864 has 24 divisors (see below), whose sum is σ = 579278448. Its totient is φ = 110338560.

The previous prime is 257456861. The next prime is 257456887. The reversal of 257456864 is 468654752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257456861) 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, 574457 + ... + 574904.

It is an arithmetic number, because the mean of its divisors is an integer number (24136602).

Almost surely, 2^257456864 is an apocalyptic number.

It is an amenable number.

257456864 is an abundant number, since it is smaller than the sum of its proper divisors (321821584).

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

257456864 is a wasteful number, since it uses less digits than its factorization.

257456864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149378 (or 1149370 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 47.

The square root of 257456864 is about 16045.4624115355. The cubic root of 257456864 is about 636.1626365715.

The spelling of 257456864 in words is "two hundred fifty-seven million, four hundred fifty-six thousand, eight hundred sixty-four".