258523920 has 80 divisors (see below), whose sum is σ = 890478720. Its totient is φ = 68939136.

The previous prime is 258523871. The next prime is 258523927. The reversal of 258523920 is 29325852.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (258523927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57684 + ... + 62003.

It is an arithmetic number, because the mean of its divisors is an integer number (11130984).

Almost surely, 2^258523920 is an apocalyptic number.

258523920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

258523920 is an abundant number, since it is smaller than the sum of its proper divisors (631954800).

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

258523920 is a wasteful number, since it uses less digits than its factorization.

258523920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119709 (or 119697 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 258523920 is about 16078.6790502205. The cubic root of 258523920 is about 637.0403052767.

The spelling of 258523920 in words is "two hundred fifty-eight million, five hundred twenty-three thousand, nine hundred twenty".