256922172 has 96 divisors (see below), whose sum is σ = 740597760. Its totient is φ = 76489920.

The previous prime is 256922137. The next prime is 256922189. The reversal of 256922172 is 271229652.

It is a happy number.

256922172 is a `hidden beast` number, since 2 + 569 + 2 + 21 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40573 + ... + 46475.

It is an arithmetic number, because the mean of its divisors is an integer number (7714560).

Almost surely, 2^256922172 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 256922172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370298880).

256922172 is an abundant number, since it is smaller than the sum of its proper divisors (483675588).

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

256922172 is a wasteful number, since it uses less digits than its factorization.

256922172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5960 (or 5952 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 256922172 is about 16028.7919694530. The cubic root of 256922172 is about 635.7219325548.

The spelling of 256922172 in words is "two hundred fifty-six million, nine hundred twenty-two thousand, one hundred seventy-two".