256433584 has 40 divisors (see below), whose sum is σ = 542978640. Its totient is φ = 116352000.

The previous prime is 256433579. The next prime is 256433609. The reversal of 256433584 is 485334652.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 141484 + ... + 143284.

It is an arithmetic number, because the mean of its divisors is an integer number (13574466).

Almost surely, 2^256433584 is an apocalyptic number.

It is an amenable number.

256433584 is an abundant number, since it is smaller than the sum of its proper divisors (286545056).

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

256433584 is a wasteful number, since it uses less digits than its factorization.

256433584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2623 counting only the distinct ones).

The product of its digits is 345600, while the sum is 40.

The square root of 256433584 is about 16013.5437676986. The cubic root of 256433584 is about 635.3186934386.

The spelling of 256433584 in words is "two hundred fifty-six million, four hundred thirty-three thousand, five hundred eighty-four".