258731172 has 180 divisors, whose sum is σ = 807224880. Its totient is φ = 72013536.

The previous prime is 258731167. The next prime is 258731173. The reversal of 258731172 is 271137852.

258731172 is a `hidden beast` number, since 2 + 587 + 3 + 1 + 1 + 72 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (258731173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 682479 + ... + 682857.

Almost surely, 2^258731172 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 258731172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403612440).

258731172 is an abundant number, since it is smaller than the sum of its proper divisors (548493708).

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

258731172 is a wasteful number, since it uses less digits than its factorization.

258731172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 434 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 258731172 is about 16085.1226914811. The cubic root of 258731172 is about 637.2104927677.

The spelling of 258731172 in words is "two hundred fifty-eight million, seven hundred thirty-one thousand, one hundred seventy-two".