256426880 has 64 divisors (see below), whose sum is σ = 619246080. Its totient is φ = 101529600.

The previous prime is 256426853. The next prime is 256426883. The reversal of 256426880 is 88624652.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256426883) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 62657 + ... + 66623.

It is an arithmetic number, because the mean of its divisors is an integer number (9675720).

Almost surely, 2^256426880 is an apocalyptic number.

256426880 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 256426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309623040).

256426880 is an abundant number, since it is smaller than the sum of its proper divisors (362819200).

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

256426880 is a wasteful number, since it uses less digits than its factorization.

256426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4087 (or 4075 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 41.

The square root of 256426880 is about 16013.3344435193. The cubic root of 256426880 is about 635.3131569646.

The spelling of 256426880 in words is "two hundred fifty-six million, four hundred twenty-six thousand, eight hundred eighty".