256256952 has 128 divisors (see below), whose sum is σ = 789043200. Its totient is φ = 67713408.

The previous prime is 256256947. The next prime is 256256953. The reversal of 256256952 is 259652652.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256256953) 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, 136323 + ... + 138189.

It is an arithmetic number, because the mean of its divisors is an integer number (6164400).

Almost surely, 2^256256952 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 256256952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394521600).

256256952 is an abundant number, since it is smaller than the sum of its proper divisors (532786248).

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

256256952 is a wasteful number, since it uses less digits than its factorization.

256256952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945 (or 1941 counting only the distinct ones).

The product of its digits is 324000, while the sum is 42.

The square root of 256256952 is about 16008.0277361079. The cubic root of 256256952 is about 635.1727903100.

The spelling of 256256952 in words is "two hundred fifty-six million, two hundred fifty-six thousand, nine hundred fifty-two".