258882112 has 56 divisors (see below), whose sum is σ = 538618176. Its totient is φ = 123222528.

The previous prime is 258882073. The next prime is 258882119. The reversal of 258882112 is 211288852.

258882112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (258882119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 584163 + ... + 584605.

Almost surely, 2^258882112 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 258882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269309088).

258882112 is an abundant number, since it is smaller than the sum of its proper divisors (279736064).

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

258882112 is a wasteful number, since it uses less digits than its factorization.

258882112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 865 counting only the distinct ones).

The product of its digits is 20480, while the sum is 37.

The square root of 258882112 is about 16089.8139206145. The cubic root of 258882112 is about 637.3343817882.

The spelling of 258882112 in words is "two hundred fifty-eight million, eight hundred eighty-two thousand, one hundred twelve".