256580928 has 42 divisors (see below), whose sum is σ = 735444554. Its totient is φ = 85526784.

The previous prime is 256580917. The next prime is 256580953. The reversal of 256580928 is 829085652.

256580928 is a `hidden beast` number, since 2 + 565 + 80 + 9 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 245611584 + 10969344 = 15672^2 + 3312^2 .

It is a super-2 number, since 2×256580928² = 131667545226682368, which contains 22 as substring.

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, 222151 + ... + 223302.

Almost surely, 2^256580928 is an apocalyptic number.

It is an amenable number.

256580928 is an abundant number, since it is smaller than the sum of its proper divisors (478863626).

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

256580928 is a wasteful number, since it uses less digits than its factorization.

256580928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445471 (or 445458 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 256580928 is about 16018.1437126778. The cubic root of 256580928 is about 635.4403525867.

The spelling of 256580928 in words is "two hundred fifty-six million, five hundred eighty thousand, nine hundred twenty-eight".