256448880 has 120 divisors (see below), whose sum is σ = 875509440. Its totient is φ = 67253760.

The previous prime is 256448851. The next prime is 256448897. The reversal of 256448880 is 88844652.

256448880 is a `hidden beast` number, since 2 + 564 + 4 + 8 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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 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, 41001 + ... + 46839.

It is an arithmetic number, because the mean of its divisors is an integer number (7295912).

Almost surely, 2^256448880 is an apocalyptic number.

256448880 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 256448880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437754720).

256448880 is an abundant number, since it is smaller than the sum of its proper divisors (619060560).

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

256448880 is a wasteful number, since it uses less digits than its factorization.

256448880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5919 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 256448880 is about 16014.0213562990. The cubic root of 256448880 is about 635.3313252234.

The spelling of 256448880 in words is "two hundred fifty-six million, four hundred forty-eight thousand, eight hundred eighty".