256456629 has 24 divisors (see below), whose sum is σ = 435201312. Its totient is φ = 143471520.

The previous prime is 256456621. The next prime is 256456633. The reversal of 256456629 is 926654652.

It is a happy number.

256456629 is a `hidden beast` number, since 2 + 5 + 64 + 566 + 29 = 666.

It is not a de Polignac number, because 256456629 - 2³ = 256456621 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256456621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98347 + ... + 100920.

It is an arithmetic number, because the mean of its divisors is an integer number (18133388).

Almost surely, 2^256456629 is an apocalyptic number.

It is an amenable number.

256456629 is a deficient number, since it is larger than the sum of its proper divisors (178744683).

256456629 is a wasteful number, since it uses less digits than its factorization.

256456629 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199297 (or 199294 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 256456629 is about 16014.2632986972. The cubic root of 256456629 is about 635.3377243322.

The spelling of 256456629 in words is "two hundred fifty-six million, four hundred fifty-six thousand, six hundred twenty-nine".