258920172 has 96 divisors (see below), whose sum is σ = 770918400. Its totient is φ = 73616256.

The previous prime is 258920159. The next prime is 258920197. The reversal of 258920172 is 271029852.

258920172 is a `hidden beast` number, since 2 + 589 + 2 + 0 + 1 + 72 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179968 + ... + 181400.

It is an arithmetic number, because the mean of its divisors is an integer number (8030400).

Almost surely, 2^258920172 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 258920172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385459200).

258920172 is an abundant number, since it is smaller than the sum of its proper divisors (511998228).

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

258920172 is a wasteful number, since it uses less digits than its factorization.

258920172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 258920172 is about 16090.9966130131. The cubic root of 258920172 is about 637.3656131954.

The spelling of 258920172 in words is "two hundred fifty-eight million, nine hundred twenty thousand, one hundred seventy-two".