256410880 has 72 divisors (see below), whose sum is σ = 670055904. Its totient is φ = 93235200.

The previous prime is 256410863. The next prime is 256410883. The reversal of 256410880 is 88014652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256410883) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4975 + ... + 23185.

It is an arithmetic number, because the mean of its divisors is an integer number (9306332).

Almost surely, 2^256410880 is an apocalyptic number.

256410880 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 256410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335027952).

256410880 is an abundant number, since it is smaller than the sum of its proper divisors (413645024).

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

256410880 is a wasteful number, since it uses less digits than its factorization.

256410880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18243 (or 18229 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 34.

The square root of 256410880 is about 16012.8348520804. The cubic root of 256410880 is about 635.2999430327.

The spelling of 256410880 in words is "two hundred fifty-six million, four hundred ten thousand, eight hundred eighty".