256016824 has 32 divisors (see below), whose sum is σ = 550725120. Its totient is φ = 109298016.

The previous prime is 256016819. The next prime is 256016851. The reversal of 256016824 is 428610652.

256016824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×256016824² = 131089228342093952, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 256016824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6037 + ... + 23419.

It is an arithmetic number, because the mean of its divisors is an integer number (17210160).

Almost surely, 2^256016824 is an apocalyptic number.

It is an amenable number.

256016824 is an abundant number, since it is smaller than the sum of its proper divisors (294708296).

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

256016824 is a wasteful number, since it uses less digits than its factorization.

256016824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17659 (or 17655 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 256016824 is about 16000.5257413624. The cubic root of 256016824 is about 634.9743300843.

The spelling of 256016824 in words is "two hundred fifty-six million, sixteen thousand, eight hundred twenty-four".