256461849 has 64 divisors (see below), whose sum is σ = 447744000. Its totient is φ = 142067520.

The previous prime is 256461841. The next prime is 256461857. The reversal of 256461849 is 948164652.

256461849 is a `hidden beast` number, since 2 + 564 + 6 + 1 + 84 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (256461841) and next prime (256461857).

It is not a de Polignac number, because 256461849 - 2³ = 256461841 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (256461841) 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 63 ways as a sum of consecutive naturals, for example, 1215354 + ... + 1215564.

It is an arithmetic number, because the mean of its divisors is an integer number (6996000).

Almost surely, 2^256461849 is an apocalyptic number.

It is an amenable number.

256461849 is a deficient number, since it is larger than the sum of its proper divisors (191282151).

256461849 is a wasteful number, since it uses less digits than its factorization.

256461849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 389 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 256461849 is about 16014.4262775786. The cubic root of 256461849 is about 635.3420349251.

It can be divided in two parts, 25646 and 1849, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 256461849 in words is "two hundred fifty-six million, four hundred sixty-one thousand, eight hundred forty-nine".