256682349 has 48 divisors (see below), whose sum is σ = 465139584. Its totient is φ = 132508800.

The previous prime is 256682341. The next prime is 256682359. The reversal of 256682349 is 943286652.

256682349 is a `hidden beast` number, since 2 + 566 + 82 + 3 + 4 + 9 = 666.

It is not a de Polignac number, because 256682349 - 2³ = 256682341 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256682341) 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, 118819 + ... + 120959.

It is an arithmetic number, because the mean of its divisors is an integer number (9690408).

Almost surely, 2^256682349 is an apocalyptic number.

It is an amenable number.

256682349 is a deficient number, since it is larger than the sum of its proper divisors (208457235).

256682349 is a wasteful number, since it uses less digits than its factorization.

256682349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2335 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 256682349 is about 16021.3092161658. The cubic root of 256682349 is about 635.5240669231.

The spelling of 256682349 in words is "two hundred fifty-six million, six hundred eighty-two thousand, three hundred forty-nine".