480165056 has 56 divisors (see below), whose sum is σ = 1099047840. Its totient is φ = 203876352.

The previous prime is 480165041. The next prime is 480165061. The reversal of 480165056 is 650561084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43916 + ... + 53748.

Almost surely, 2^480165056 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 480165056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549523920).

480165056 is an abundant number, since it is smaller than the sum of its proper divisors (618882784).

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

480165056 is a wasteful number, since it uses less digits than its factorization.

480165056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9961 (or 9951 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 480165056 is about 21912.6688470391. The cubic root of 480165056 is about 783.0632641146.

The spelling of 480165056 in words is "four hundred eighty million, one hundred sixty-five thousand, fifty-six".