258404832 has 108 divisors (see below), whose sum is σ = 854859096. Its totient is φ = 73825920.

The previous prime is 258404827. The next prime is 258404849. The reversal of 258404832 is 238404852.

258404832 is a `hidden beast` number, since 2 + 584 + 0 + 48 + 32 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4957 + ... + 23267.

It is an arithmetic number, because the mean of its divisors is an integer number (7915362).

Almost surely, 2^258404832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258404832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427429548).

258404832 is an abundant number, since it is smaller than the sum of its proper divisors (596454264).

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

258404832 is a wasteful number, since it uses less digits than its factorization.

258404832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18341 (or 18323 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 258404832 is about 16074.9753343512. The cubic root of 258404832 is about 636.9424735717.

The spelling of 258404832 in words is "two hundred fifty-eight million, four hundred four thousand, eight hundred thirty-two".