258404160 has 112 divisors (see below), whose sum is σ = 937662336. Its totient is φ = 59062272.

The previous prime is 258404143. The next prime is 258404173. The reversal of 258404160 is 61404852.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×258404160³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12507 + ... + 25946.

Almost surely, 2^258404160 is an apocalyptic number.

258404160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258404160 is an abundant number, since it is smaller than the sum of its proper divisors (679258176).

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

258404160 is a wasteful number, since it uses less digits than its factorization.

258404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38480 (or 38470 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 258404160 is about 16074.9544322838. The cubic root of 258404160 is about 636.9419214333.

The spelling of 258404160 in words is "two hundred fifty-eight million, four hundred four thousand, one hundred sixty".