256448808 has 256 divisors, whose sum is σ = 941414400. Its totient is φ = 62622720.

The previous prime is 256448789. The next prime is 256448837. The reversal of 256448808 is 808844652.

256448808 is a `hidden beast` number, since 2 + 564 + 4 + 8 + 80 + 8 = 666.

It is a super-2 number, since 2×256448808² = 131531982249241728, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 282291 + ... + 283197.

It is an arithmetic number, because the mean of its divisors is an integer number (3677400).

Almost surely, 2^256448808 is an apocalyptic number.

256448808 is a gapful number since it is divisible by the number (28) 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 256448808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470707200).

256448808 is an abundant number, since it is smaller than the sum of its proper divisors (684965592).

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

256448808 is a wasteful number, since it uses less digits than its factorization.

256448808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 947 counting only the distinct ones).

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

The square root of 256448808 is about 16014.0191082689. The cubic root of 256448808 is about 635.3312657653.

The spelling of 256448808 in words is "two hundred fifty-six million, four hundred forty-eight thousand, eight hundred eight".