256322880 has 560 divisors, whose sum is σ = 1062167040. Its totient is φ = 58060800.

The previous prime is 256322873. The next prime is 256322917. The reversal of 256322880 is 88223652.

256322880 is a `hidden beast` number, since 256 + 322 + 8 + 80 = 666.

It is a super-2 number, since 2×256322880² = 131402837622988800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 8268465 + ... + 8268495.

Almost surely, 2^256322880 is an apocalyptic number.

256322880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531083520).

256322880 is an abundant number, since it is smaller than the sum of its proper divisors (805844160).

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

256322880 is a wasteful number, since it uses less digits than its factorization.

256322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 256322880 is about 16010.0868205016. The cubic root of 256322880 is about 635.2272565801.

The spelling of 256322880 in words is "two hundred fifty-six million, three hundred twenty-two thousand, eight hundred eighty".