258632256 has 112 divisors (see below), whose sum is σ = 743874560. Its totient is φ = 79004160.

The previous prime is 258632243. The next prime is 258632273. The reversal of 258632256 is 652236852.

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 15 ways as a sum of consecutive naturals, for example, 111945 + ... + 114231.

Almost surely, 2^258632256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258632256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371937280).

258632256 is an abundant number, since it is smaller than the sum of its proper divisors (485242304).

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

258632256 is a wasteful number, since it uses less digits than its factorization.

258632256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2342 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 258632256 is about 16082.0476308211. The cubic root of 258632256 is about 637.1292780372.

The spelling of 258632256 in words is "two hundred fifty-eight million, six hundred thirty-two thousand, two hundred fifty-six".