256826880 has 240 divisors, whose sum is σ = 907736544. Its totient is φ = 67092480.

The previous prime is 256826863. The next prime is 256826891. The reversal of 256826880 is 88628652.

256826880 is a `hidden beast` number, since 2 + 568 + 2 + 6 + 8 + 80 = 666.

256826880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1635762 + ... + 1635918.

Almost surely, 2^256826880 is an apocalyptic number.

256826880 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 256826880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453868272).

256826880 is an abundant number, since it is smaller than the sum of its proper divisors (650909664).

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

256826880 is a wasteful number, since it uses less digits than its factorization.

256826880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 256826880 is about 16025.8191678304. The cubic root of 256826880 is about 635.6433267718.

The spelling of 256826880 in words is "two hundred fifty-six million, eight hundred twenty-six thousand, eight hundred eighty".