258290880 has 112 divisors (see below), whose sum is σ = 827678304. Its totient is φ = 68239360.

The previous prime is 258290873. The next prime is 258290891. The reversal of 258290880 is 88092852.

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, 107290 + ... + 109670.

Almost surely, 2^258290880 is an apocalyptic number.

258290880 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 258290880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413839152).

258290880 is an abundant number, since it is smaller than the sum of its proper divisors (569387424).

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

258290880 is a wasteful number, since it uses less digits than its factorization.

258290880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2514 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 258290880 is about 16071.4305523808. The cubic root of 258290880 is about 636.8488329849.

The spelling of 258290880 in words is "two hundred fifty-eight million, two hundred ninety thousand, eight hundred eighty".