256791584 has 24 divisors (see below), whose sum is σ = 577781568. Its totient is φ = 110053440.

The previous prime is 256791551. The next prime is 256791599. The reversal of 256791584 is 485197652.

It is a happy number.

It is a super-2 number, since 2×256791584² = 131883835226458112, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 572972 + ... + 573419.

It is an arithmetic number, because the mean of its divisors is an integer number (24074232).

Almost surely, 2^256791584 is an apocalyptic number.

It is an amenable number.

256791584 is an abundant number, since it is smaller than the sum of its proper divisors (320989984).

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

256791584 is a wasteful number, since it uses less digits than its factorization.

256791584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146408 (or 1146400 counting only the distinct ones).

The product of its digits is 604800, while the sum is 47.

The square root of 256791584 is about 16024.7179070335. The cubic root of 256791584 is about 635.6142063844.

The spelling of 256791584 in words is "two hundred fifty-six million, seven hundred ninety-one thousand, five hundred eighty-four".