258312672 has 96 divisors (see below), whose sum is σ = 767763360. Its totient is φ = 84464640.

The previous prime is 258312667. The next prime is 258312709. The reversal of 258312672 is 276213852.

258312672 is a `hidden beast` number, since 2 + 583 + 1 + 2 + 6 + 72 = 666.

258312672 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 (96).

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 15 ways as a sum of consecutive naturals, for example, 42972 + ... + 48612.

It is an arithmetic number, because the mean of its divisors is an integer number (7997535).

Almost surely, 2^258312672 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 258312672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383881680).

258312672 is an abundant number, since it is smaller than the sum of its proper divisors (509450688).

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

258312672 is a wasteful number, since it uses less digits than its factorization.

258312672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5699 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 258312672 is about 16072.1085113311. The cubic root of 258312672 is about 636.8667427919.

The spelling of 258312672 in words is "two hundred fifty-eight million, three hundred twelve thousand, six hundred seventy-two".