258053256 has 64 divisors (see below), whose sum is σ = 729000000. Its totient is φ = 84555648.

The previous prime is 258053239. The next prime is 258053273. The reversal of 258053256 is 652350852.

It is a happy number.

258053256 is a `hidden beast` number, since 2 + 580 + 53 + 25 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (258053239) and next prime (258053273).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 258053256.

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, 2620 + ... + 22868.

It is an arithmetic number, because the mean of its divisors is an integer number (11390625).

Almost surely, 2^258053256 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 258053256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364500000).

258053256 is an abundant number, since it is smaller than the sum of its proper divisors (470946744).

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

258053256 is a wasteful number, since it uses less digits than its factorization.

258053256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20323 (or 20313 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 258053256 is about 16064.0361055371. The cubic root of 258053256 is about 636.6534757218.

The spelling of 258053256 in words is "two hundred fifty-eight million, fifty-three thousand, two hundred fifty-six".