258990112 has 48 divisors (see below), whose sum is σ = 524839392. Its totient is φ = 125729280.

The previous prime is 258990107. The next prime is 258990119. The reversal of 258990112 is 211099852.

258990112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×258990112² = 134151756227545088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (258990119) 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, 402463 + ... + 403105.

It is an arithmetic number, because the mean of its divisors is an integer number (10934154).

Almost surely, 2^258990112 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 258990112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262419696).

258990112 is an abundant number, since it is smaller than the sum of its proper divisors (265849280).

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

258990112 is a wasteful number, since it uses less digits than its factorization.

258990112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 258990112 is about 16093.1697312866. The cubic root of 258990112 is about 637.4229968251.

The spelling of 258990112 in words is "two hundred fifty-eight million, nine hundred ninety thousand, one hundred twelve".