480513060 has 84 divisors (see below), whose sum is σ = 1512969948. Its totient is φ = 128132928.

The previous prime is 480513053. The next prime is 480513073. The reversal of 480513060 is 60315084.

It can be written as a sum of positive squares in 2 ways, for example, as 353139264 + 127373796 = 18792^2 + 11286^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 1899 + ... + 31058.

It is an arithmetic number, because the mean of its divisors is an integer number (18011547).

Almost surely, 2^480513060 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 480513060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756484974).

480513060 is an abundant number, since it is smaller than the sum of its proper divisors (1032456888).

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

480513060 is a wasteful number, since it uses less digits than its factorization.

480513060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32984 (or 32967 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 480513060 is about 21920.6081120027. The cubic root of 480513060 is about 783.2523958425.

The spelling of 480513060 in words is "four hundred eighty million, five hundred thirteen thousand, sixty".