256338657 has 48 divisors (see below), whose sum is σ = 398361600. Its totient is φ = 158479200.

The previous prime is 256338623. The next prime is 256338689. The reversal of 256338657 is 756833652.

256338657 is a `hidden beast` number, since 2 + 5 + 633 + 8 + 6 + 5 + 7 = 666.

It is not a de Polignac number, because 256338657 - 2¹⁰ = 256337633 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (907200) is a multiple of the sum of its prime factors (378).

It is not an unprimeable number, because it can be changed into a prime (256338757) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1697532 + ... + 1697682.

It is an arithmetic number, because the mean of its divisors is an integer number (8299200).

Almost surely, 2^256338657 is an apocalyptic number.

It is an amenable number.

256338657 is a deficient number, since it is larger than the sum of its proper divisors (142022943).

256338657 is a wasteful number, since it uses less digits than its factorization.

256338657 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 375 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 256338657 is about 16010.5795335459. The cubic root of 256338657 is about 635.2402893285.

The spelling of 256338657 in words is "two hundred fifty-six million, three hundred thirty-eight thousand, six hundred fifty-seven".