258393072 has 120 divisors (see below), whose sum is σ = 789665232. Its totient is φ = 72576000.

The previous prime is 258393067. The next prime is 258393119. The reversal of 258393072 is 270393852.

It is a self number, because there is not a number n which added to its sum of digits gives 258393072.

It is a congruent number.

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, 142572 + ... + 144372.

Almost surely, 2^258393072 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 258393072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394832616).

258393072 is an abundant number, since it is smaller than the sum of its proper divisors (531272160).

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

258393072 is a wasteful number, since it uses less digits than its factorization.

258393072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1874 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 258393072 is about 16074.6095442471. The cubic root of 258393072 is about 636.9328110110.

The spelling of 258393072 in words is "two hundred fifty-eight million, three hundred ninety-three thousand, seventy-two".