256804875 has 96 divisors (see below), whose sum is σ = 486233280. Its totient is φ = 130291200.

The previous prime is 256804871. The next prime is 256804879. The reversal of 256804875 is 578408652.

256804875 is a `hidden beast` number, since 2 + 568 + 0 + 4 + 87 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (256804871) and next prime (256804879).

It is not a de Polignac number, because 256804875 - 2² = 256804871 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 256804875.

It is not an unprimeable number, because it can be changed into a prime (256804871) 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 95 ways as a sum of consecutive naturals, for example, 3517839 + ... + 3517911.

It is an arithmetic number, because the mean of its divisors is an integer number (5064930).

Almost surely, 2^256804875 is an apocalyptic number.

256804875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

256804875 is a deficient number, since it is larger than the sum of its proper divisors (229428405).

256804875 is a wasteful number, since it uses less digits than its factorization.

256804875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 256804875 is about 16025.1326047556. The cubic root of 256804875 is about 635.6251722197.

The spelling of 256804875 in words is "two hundred fifty-six million, eight hundred four thousand, eight hundred seventy-five".