480165504 has 288 divisors, whose sum is σ = 1617222240. Its totient is φ = 125798400.

The previous prime is 480165487. The next prime is 480165509. The reversal of 480165504 is 405561084.

It is a super-2 number, since 2×480165504² = 461117822463148032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (480165509) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3179829 + ... + 3179979.

It is an arithmetic number, because the mean of its divisors is an integer number (5615355).

Almost surely, 2^480165504 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 480165504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808611120).

480165504 is an abundant number, since it is smaller than the sum of its proper divisors (1137056736).

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

480165504 is a wasteful number, since it uses less digits than its factorization.

480165504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 480165504 is about 21912.6790694338. The cubic root of 480165504 is about 783.0635076504.

The spelling of 480165504 in words is "four hundred eighty million, one hundred sixty-five thousand, five hundred four".