256368672 has 384 divisors, whose sum is σ = 948326400. Its totient is φ = 65691648.

The previous prime is 256368659. The next prime is 256368731. The reversal of 256368672 is 276863652.

It is a happy number.

256368672 is a `hidden beast` number, since 2 + 5 + 636 + 8 + 6 + 7 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2642928 + ... + 2643024.

It is an arithmetic number, because the mean of its divisors is an integer number (2469600).

Almost surely, 2^256368672 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 256368672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474163200).

256368672 is an abundant number, since it is smaller than the sum of its proper divisors (691957728).

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

256368672 is a wasteful number, since it uses less digits than its factorization.

256368672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 151 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 256368672 is about 16011.5168550640. The cubic root of 256368672 is about 635.2650820426.

The spelling of 256368672 in words is "two hundred fifty-six million, three hundred sixty-eight thousand, six hundred seventy-two".