256658472 has 144 divisors (see below), whose sum is σ = 844028640. Its totient is φ = 70120512.

The previous prime is 256658471. The next prime is 256658477. The reversal of 256658472 is 274856652.

256658472 is a `hidden beast` number, since 2 + 5 + 66 + 584 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (256658471) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79563 + ... + 82725.

It is an arithmetic number, because the mean of its divisors is an integer number (5861310).

Almost surely, 2^256658472 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 256658472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422014320).

256658472 is an abundant number, since it is smaller than the sum of its proper divisors (587370168).

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

256658472 is a wasteful number, since it uses less digits than its factorization.

256658472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3212 (or 3198 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 256658472 is about 16020.5640350145. The cubic root of 256658472 is about 635.5043604925.

The spelling of 256658472 in words is "two hundred fifty-six million, six hundred fifty-eight thousand, four hundred seventy-two".