480569856 has 160 divisors (see below), whose sum is σ = 1414784448. Its totient is φ = 144015360.

The previous prime is 480569851. The next prime is 480569863. The reversal of 480569856 is 658965084.

It is a junction number, because it is equal to n+sod(n) for n = 480569799 and 480569808.

It is not an unprimeable number, because it can be changed into a prime (480569851) 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 15 ways as a sum of consecutive naturals, for example, 818395 + ... + 818981.

Almost surely, 2^480569856 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 480569856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707392224).

480569856 is an abundant number, since it is smaller than the sum of its proper divisors (934214592).

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

480569856 is a wasteful number, since it uses less digits than its factorization.

480569856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 480569856 is about 21921.9035669807. The cubic root of 480569856 is about 783.2832544214.

The spelling of 480569856 in words is "four hundred eighty million, five hundred sixty-nine thousand, eight hundred fifty-six".