258093972 has 96 divisors (see below), whose sum is σ = 697303040. Its totient is φ = 82464480.

The previous prime is 258093961. The next prime is 258093977. The reversal of 258093972 is 279390852.

258093972 is a `hidden beast` number, since 258 + 0 + 9 + 397 + 2 = 666.

258093972 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 2×258093972² = 133224996765473568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (258093977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 424893 + ... + 425499.

Almost surely, 2^258093972 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 258093972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348651520).

258093972 is an abundant number, since it is smaller than the sum of its proper divisors (439209068).

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

258093972 is a wasteful number, since it uses less digits than its factorization.

258093972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 778 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 258093972 is about 16065.3033584803. The cubic root of 258093972 is about 636.6869579832.

The spelling of 258093972 in words is "two hundred fifty-eight million, ninety-three thousand, nine hundred seventy-two".