258708160 has 56 divisors (see below), whose sum is σ = 618134400. Its totient is φ = 103133184.

The previous prime is 258708143. The next prime is 258708169. The reversal of 258708160 is 61807852.

258708160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (258708169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 106641 + ... + 109039.

Almost surely, 2^258708160 is an apocalyptic number.

258708160 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 258708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309067200).

258708160 is an abundant number, since it is smaller than the sum of its proper divisors (359426240).

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

258708160 is a wasteful number, since it uses less digits than its factorization.

258708160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2743 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 258708160 is about 16084.4073561944. The cubic root of 258708160 is about 637.1916006715.

The spelling of 258708160 in words is "two hundred fifty-eight million, seven hundred eight thousand, one hundred sixty".