258233360 has 240 divisors, whose sum is σ = 782116608. Its totient is φ = 77552640.

The previous prime is 258233359. The next prime is 258233377. The reversal of 258233360 is 63332852.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2507069 + ... + 2507171.

Almost surely, 2^258233360 is an apocalyptic number.

258233360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258233360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391058304).

258233360 is an abundant number, since it is smaller than the sum of its proper divisors (523883248).

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

258233360 is a wasteful number, since it uses less digits than its factorization.

258233360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 258233360 is about 16069.6409418506. The cubic root of 258233360 is about 636.8015551968.

The spelling of 258233360 in words is "two hundred fifty-eight million, two hundred thirty-three thousand, three hundred sixty".