256684272 has 160 divisors (see below), whose sum is σ = 746618880. Its totient is φ = 75479040.

The previous prime is 256684229. The next prime is 256684273. The reversal of 256684272 is 272486652.

256684272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256684273) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2021073 + ... + 2021199.

It is an arithmetic number, because the mean of its divisors is an integer number (4666368).

Almost surely, 2^256684272 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 256684272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373309440).

256684272 is an abundant number, since it is smaller than the sum of its proper divisors (489934608).

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

256684272 is a wasteful number, since it uses less digits than its factorization.

256684272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 265 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 256684272 is about 16021.3692298755. The cubic root of 256684272 is about 635.5256539816.

The spelling of 256684272 in words is "two hundred fifty-six million, six hundred eighty-four thousand, two hundred seventy-two".