256579488 has 120 divisors (see below), whose sum is σ = 823284000. Its totient is φ = 77742720.

The previous prime is 256579457. The next prime is 256579511. The reversal of 256579488 is 884975652.

256579488 is a `hidden beast` number, since 2 + 565 + 79 + 4 + 8 + 8 = 666.

256579488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24013 + ... + 33011.

It is an arithmetic number, because the mean of its divisors is an integer number (6860700).

Almost surely, 2^256579488 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 256579488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411642000).

256579488 is an abundant number, since it is smaller than the sum of its proper divisors (566704512).

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

256579488 is a wasteful number, since it uses less digits than its factorization.

256579488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9032 (or 9015 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 256579488 is about 16018.0987635861. The cubic root of 256579488 is about 635.4391638314.

The spelling of 256579488 in words is "two hundred fifty-six million, five hundred seventy-nine thousand, four hundred eighty-eight".