256984820 has 24 divisors (see below), whose sum is σ = 547063944. Its totient is φ = 101385216.

The previous prime is 256984817. The next prime is 256984829. The reversal of 256984820 is 28489652.

It can be written as a sum of positive squares in 4 ways, for example, as 27583504 + 229401316 = 5252^2 + 15146^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256984829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86549 + ... + 89468.

It is an arithmetic number, because the mean of its divisors is an integer number (22794331).

Almost surely, 2^256984820 is an apocalyptic number.

256984820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256984820 is an abundant number, since it is smaller than the sum of its proper divisors (290079124).

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

256984820 is a wasteful number, since it uses less digits than its factorization.

256984820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176099 (or 176097 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 256984820 is about 16030.7460836980. The cubic root of 256984820 is about 635.7735999147.

The spelling of 256984820 in words is "two hundred fifty-six million, nine hundred eighty-four thousand, eight hundred twenty".