256519872 has 140 divisors (see below), whose sum is σ = 869157520. Its totient is φ = 73281024.

The previous prime is 256519871. The next prime is 256519951. The reversal of 256519872 is 278915652.

256519872 is a `hidden beast` number, since 2 + 56 + 519 + 87 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (256519871) 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 19 ways as a sum of consecutive naturals, for example, 32754 + ... + 39822.

It is an arithmetic number, because the mean of its divisors is an integer number (6208268).

Almost surely, 2^256519872 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 256519872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434578760).

256519872 is an abundant number, since it is smaller than the sum of its proper divisors (612637648).

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

256519872 is an equidigital number, since it uses as much as digits as its factorization.

256519872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7100 (or 7081 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 256519872 is about 16016.2377604730. The cubic root of 256519872 is about 635.3899454575.

The spelling of 256519872 in words is "two hundred fifty-six million, five hundred nineteen thousand, eight hundred seventy-two".