256267824 has 40 divisors (see below), whose sum is σ = 683384832. Its totient is φ = 82666560.

The previous prime is 256267819. The next prime is 256267849. The reversal of 256267824 is 428762652.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 84624 + ... + 87599.

Almost surely, 2^256267824 is an apocalyptic number.

256267824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

256267824 is an abundant number, since it is smaller than the sum of its proper divisors (427117008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256267824 is a wasteful number, since it uses less digits than its factorization.

256267824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172265 (or 172259 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 256267824 is about 16008.3673121277. The cubic root of 256267824 is about 635.1817728317.

The spelling of 256267824 in words is "two hundred fifty-six million, two hundred sixty-seven thousand, eight hundred twenty-four".