480075180 has 96 divisors (see below), whose sum is σ = 1452294144. Its totient is φ = 117790464.

The previous prime is 480075163. The next prime is 480075181. The reversal of 480075180 is 81570084.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (480075181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 297937 + ... + 299543.

It is an arithmetic number, because the mean of its divisors is an integer number (15128064).

Almost surely, 2^480075180 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 480075180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726147072).

480075180 is an abundant number, since it is smaller than the sum of its proper divisors (972218964).

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

480075180 is a wasteful number, since it uses less digits than its factorization.

480075180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2013 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 480075180 is about 21910.6179739413. The cubic root of 480075180 is about 783.0144038428.

The spelling of 480075180 in words is "four hundred eighty million, seventy-five thousand, one hundred eighty".