481088256 has 216 divisors, whose sum is σ = 1461476352. Its totient is φ = 140236800.

The previous prime is 481088249. The next prime is 481088291. The reversal of 481088256 is 652880184.

It is a super-2 number, since 2×481088256² = 462891820122243072, which contains 22 as substring.

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, 2880685 + ... + 2880851.

Almost surely, 2^481088256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481088256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730738176).

481088256 is an abundant number, since it is smaller than the sum of its proper divisors (980388096).

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

481088256 is a wasteful number, since it uses less digits than its factorization.

481088256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 481088256 is about 21933.7241707832. The cubic root of 481088256 is about 783.5648008087.

The spelling of 481088256 in words is "four hundred eighty-one million, eighty-eight thousand, two hundred fifty-six".