480180924 has 36 divisors (see below), whose sum is σ = 1214609760. Its totient is φ = 159952320.

The previous prime is 480180907. The next prime is 480180937. The reversal of 480180924 is 429081084.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63792 + ... + 70920.

It is an arithmetic number, because the mean of its divisors is an integer number (33739160).

Almost surely, 2^480180924 is an apocalyptic number.

It is an amenable number.

480180924 is an abundant number, since it is smaller than the sum of its proper divisors (734428836).

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

480180924 is a wasteful number, since it uses less digits than its factorization.

480180924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 9005 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 480180924 is about 21913.0309176983. The cubic root of 480180924 is about 783.0718899755.

The spelling of 480180924 in words is "four hundred eighty million, one hundred eighty thousand, nine hundred twenty-four".