258864804 has 72 divisors (see below), whose sum is σ = 715609440. Its totient is φ = 78249600.

The previous prime is 258864761. The next prime is 258864811. The reversal of 258864804 is 408468852.

258864804 is a `hidden beast` number, since 2 + 588 + 64 + 8 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 258864804.

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, 300927 + ... + 301785.

It is an arithmetic number, because the mean of its divisors is an integer number (9939020).

Almost surely, 2^258864804 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 258864804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357804720).

258864804 is an abundant number, since it is smaller than the sum of its proper divisors (456744636).

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

258864804 is a wasteful number, since it uses less digits than its factorization.

258864804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 258864804 is about 16089.2760558081. The cubic root of 258864804 is about 637.3201781168.

The spelling of 258864804 in words is "two hundred fifty-eight million, eight hundred sixty-four thousand, eight hundred four".