256928841 has 45 divisors (see below), whose sum is σ = 418657701. Its totient is φ = 156955968.

The previous prime is 256928839. The next prime is 256928897. The reversal of 256928841 is 148829652.

The square root of 256928841 is 16029.

It is a perfect power (a square), and thus also a powerful number.

256928841 is a `hidden beast` number, since 2 + 569 + 2 + 8 + 84 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22838841 + 234090000 = 4779^2 + 15300^2 .

It is not a de Polignac number, because 256928841 - 2¹ = 256928839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (256928801) 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 44 ways as a sum of consecutive naturals, for example, 1875325 + ... + 1875461.

Almost surely, 2^256928841 is an apocalyptic number.

256928841 is the 16029-th square number.

256928841 is the 8015-th centered octagonal number.

It is an amenable number.

256928841 is a deficient number, since it is larger than the sum of its proper divisors (161728860).

256928841 is an equidigital number, since it uses as much as digits as its factorization.

256928841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 153 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The cubic root of 256928841 is about 635.7274330440.

The spelling of 256928841 in words is "two hundred fifty-six million, nine hundred twenty-eight thousand, eight hundred forty-one".