256204672 has 32 divisors (see below), whose sum is σ = 515389680. Its totient is φ = 126852096.

The previous prime is 256204667. The next prime is 256204679. The reversal of 256204672 is 276402652.

256204672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256204679) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3468 + ... + 22900.

Almost surely, 2^256204672 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 256204672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257694840).

256204672 is an abundant number, since it is smaller than the sum of its proper divisors (259185008).

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

256204672 is a wasteful number, since it uses less digits than its factorization.

256204672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19550 (or 19538 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The square root of 256204672 is about 16006.3947221103. The cubic root of 256204672 is about 635.1295926631.

The spelling of 256204672 in words is "two hundred fifty-six million, two hundred four thousand, six hundred seventy-two".