256975992 has 216 divisors, whose sum is σ = 878707440. Its totient is φ = 67616640.

The previous prime is 256975973. The next prime is 256975997. The reversal of 256975992 is 299579652.

It is a happy number.

256975992 is a `hidden beast` number, since 2 + 569 + 75 + 9 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256975997) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 596017 + ... + 596447.

It is an arithmetic number, because the mean of its divisors is an integer number (4068090).

Almost surely, 2^256975992 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 256975992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439353720).

256975992 is an abundant number, since it is smaller than the sum of its proper divisors (621731448).

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

256975992 is a wasteful number, since it uses less digits than its factorization.

256975992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 456 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The square root of 256975992 is about 16030.4707354463. The cubic root of 256975992 is about 635.7663197523.

The spelling of 256975992 in words is "two hundred fifty-six million, nine hundred seventy-five thousand, nine hundred ninety-two".