256680480 has 192 divisors, whose sum is σ = 936714240. Its totient is φ = 57867264.

The previous prime is 256680469. The next prime is 256680499. The reversal of 256680480 is 84086652.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264957 + ... + 265923.

It is an arithmetic number, because the mean of its divisors is an integer number (4878720).

Almost surely, 2^256680480 is an apocalyptic number.

256680480 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 256680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468357120).

256680480 is an abundant number, since it is smaller than the sum of its proper divisors (680033760).

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

256680480 is a wasteful number, since it uses less digits than its factorization.

256680480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 256680480 is about 16021.2508874931. The cubic root of 256680480 is about 635.5225244233.

The spelling of 256680480 in words is "two hundred fifty-six million, six hundred eighty thousand, four hundred eighty".