258971904 has 216 divisors, whose sum is σ = 812465472. Its totient is φ = 82114560.

The previous prime is 258971893. The next prime is 258971941. The reversal of 258971904 is 409179852.

258971904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×258971904² = 134132894122770432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 258971904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1430694 + ... + 1430874.

Almost surely, 2^258971904 is an apocalyptic number.

258971904 is a gapful number since it is divisible by the number (24) 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 258971904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406232736).

258971904 is an abundant number, since it is smaller than the sum of its proper divisors (553493568).

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

258971904 is an equidigital number, since it uses as much as digits as its factorization.

258971904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 258971904 is about 16092.6040155097. The cubic root of 258971904 is about 637.4080587130.

The spelling of 258971904 in words is "two hundred fifty-eight million, nine hundred seventy-one thousand, nine hundred four".