480362180 has 48 divisors (see below), whose sum is σ = 1068137280. Its totient is φ = 180955008.

The previous prime is 480362167. The next prime is 480362213. The reversal of 480362180 is 81263084.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62087 + ... + 69393.

It is an arithmetic number, because the mean of its divisors is an integer number (22252860).

Almost surely, 2^480362180 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 480362180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534068640).

480362180 is an abundant number, since it is smaller than the sum of its proper divisors (587775100).

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

480362180 is a wasteful number, since it uses less digits than its factorization.

480362180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7508 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 480362180 is about 21917.1663314398. The cubic root of 480362180 is about 783.1704074412.

The spelling of 480362180 in words is "four hundred eighty million, three hundred sixty-two thousand, one hundred eighty".