256589379 has 24 divisors (see below), whose sum is σ = 379258880. Its totient is φ = 167121792.

The previous prime is 256589371. The next prime is 256589383. The reversal of 256589379 is 973985652.

256589379 is a `hidden beast` number, since 2 + 56 + 589 + 3 + 7 + 9 = 666.

It is not a de Polignac number, because 256589379 - 2³ = 256589371 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (256589371) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69822 + ... + 73404.

Almost surely, 2^256589379 is an apocalyptic number.

256589379 is a deficient number, since it is larger than the sum of its proper divisors (122669501).

256589379 is a wasteful number, since it uses less digits than its factorization.

256589379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3768 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 256589379 is about 16018.4075051174. The cubic root of 256589379 is about 635.4473290047.

The spelling of 256589379 in words is "two hundred fifty-six million, five hundred eighty-nine thousand, three hundred seventy-nine".