256250880 has 264 divisors, whose sum is σ = 912012192. Its totient is φ = 66502656.

The previous prime is 256250879. The next prime is 256250899. The reversal of 256250880 is 88052652.

256250880 is a `hidden beast` number, since 25 + 625 + 0 + 8 + 8 + 0 = 666.

256250880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3087319 + ... + 3087401.

Almost surely, 2^256250880 is an apocalyptic number.

256250880 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 256250880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456006096).

256250880 is an abundant number, since it is smaller than the sum of its proper divisors (655761312).

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

256250880 is a wasteful number, since it uses less digits than its factorization.

256250880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 256250880 is about 16007.8380801406. The cubic root of 256250880 is about 635.1677734709.

The spelling of 256250880 in words is "two hundred fifty-six million, two hundred fifty thousand, eight hundred eighty".