480535720 has 64 divisors (see below), whose sum is σ = 1244782080. Its totient is φ = 163539456.

The previous prime is 480535717. The next prime is 480535729. The reversal of 480535720 is 27535084.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (480535729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32097 + ... + 44623.

It is an arithmetic number, because the mean of its divisors is an integer number (19449720).

Almost surely, 2^480535720 is an apocalyptic number.

480535720 is a gapful number since it is divisible by the number (40) 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 480535720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622391040).

480535720 is an abundant number, since it is smaller than the sum of its proper divisors (764246360).

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

480535720 is a wasteful number, since it uses less digits than its factorization.

480535720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12682 (or 12678 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 480535720 is about 21921.1249711323. The cubic root of 480535720 is about 783.2647078355.

The spelling of 480535720 in words is "four hundred eighty million, five hundred thirty-five thousand, seven hundred twenty".