256659264 has 42 divisors (see below), whose sum is σ = 735669090. Its totient is φ = 85552896.

The previous prime is 256659259. The next prime is 256659287. The reversal of 256659264 is 462956652.

It is a happy number.

256659264 is a `hidden beast` number, since 2 + 56 + 6 + 592 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 254721600 + 1937664 = 15960^2 + 1392^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 222219 + ... + 223370.

Almost surely, 2^256659264 is an apocalyptic number.

256659264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256659264 is an abundant number, since it is smaller than the sum of its proper divisors (479009826).

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

256659264 is a wasteful number, since it uses less digits than its factorization.

256659264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445607 (or 445594 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 256659264 is about 16020.5887532263. The cubic root of 256659264 is about 635.5050141743.

The spelling of 256659264 in words is "two hundred fifty-six million, six hundred fifty-nine thousand, two hundred sixty-four".