258260112 has 120 divisors (see below), whose sum is σ = 805484160. Its totient is φ = 76573440.

The previous prime is 258260099. The next prime is 258260147. The reversal of 258260112 is 211062852.

It is a happy number.

258260112 is a `hidden beast` number, since 2 + 58 + 2 + 601 + 1 + 2 = 666.

258260112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 72714 + ... + 76182.

It is an arithmetic number, because the mean of its divisors is an integer number (6712368).

Almost surely, 2^258260112 is an apocalyptic number.

258260112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 258260112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402742080).

258260112 is an abundant number, since it is smaller than the sum of its proper divisors (547224048).

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

258260112 is a wasteful number, since it uses less digits than its factorization.

258260112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3541 (or 3532 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 258260112 is about 16070.4732973239. The cubic root of 258260112 is about 636.8235445155.

The spelling of 258260112 in words is "two hundred fifty-eight million, two hundred sixty thousand, one hundred twelve".