256308480 has 216 divisors, whose sum is σ = 934271520. Its totient is φ = 64696320.

The previous prime is 256308419. The next prime is 256308497. The reversal of 256308480 is 84803652.

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 23 ways as a sum of consecutive naturals, for example, 218295 + ... + 219465.

Almost surely, 2^256308480 is an apocalyptic number.

256308480 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 256308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467135760).

256308480 is an abundant number, since it is smaller than the sum of its proper divisors (677963040).

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

256308480 is a wasteful number, since it uses less digits than its factorization.

256308480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217 (or 1200 counting only the distinct ones).

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

The square root of 256308480 is about 16009.6370976984. The cubic root of 256308480 is about 635.2153608494.

The spelling of 256308480 in words is "two hundred fifty-six million, three hundred eight thousand, four hundred eighty".