480556736 has 56 divisors (see below), whose sum is σ = 1065733200. Its totient is φ = 213094400.

The previous prime is 480556679. The next prime is 480556781. The reversal of 480556736 is 637655084.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 20540 + ... + 37188.

It is an arithmetic number, because the mean of its divisors is an integer number (19030950).

Almost surely, 2^480556736 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 480556736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532866600).

480556736 is an abundant number, since it is smaller than the sum of its proper divisors (585176464).

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

480556736 is a wasteful number, since it uses less digits than its factorization.

480556736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16713 (or 16703 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 44.

The square root of 480556736 is about 21921.6043208521. The cubic root of 480556736 is about 783.2761262382.

The spelling of 480556736 in words is "four hundred eighty million, five hundred fifty-six thousand, seven hundred thirty-six".