256902564 has 48 divisors (see below), whose sum is σ = 614750976. Its totient is φ = 83462400.

The previous prime is 256902563. The next prime is 256902599. The reversal of 256902564 is 465209652.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (256902563) 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 in 15 ways as a sum of consecutive naturals, for example, 157674 + ... + 159294.

It is an arithmetic number, because the mean of its divisors is an integer number (12807312).

Almost surely, 2^256902564 is an apocalyptic number.

It is an amenable number.

256902564 is an abundant number, since it is smaller than the sum of its proper divisors (357848412).

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

256902564 is a wasteful number, since it uses less digits than its factorization.

256902564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 256902564 is about 16028.1803084442. The cubic root of 256902564 is about 635.7057596250.

The spelling of 256902564 in words is "two hundred fifty-six million, nine hundred two thousand, five hundred sixty-four".