480117216 has 96 divisors (see below), whose sum is σ = 1299207168. Its totient is φ = 155151360.

The previous prime is 480117193. The next prime is 480117221. The reversal of 480117216 is 612711084.

It is a tau number, because it is divible by the number of its divisors (96).

480117216 is a modest number, since divided by 117216 gives 480 as remainder.

It is a congruent number.

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, 877455 + ... + 878001.

It is an arithmetic number, because the mean of its divisors is an integer number (13533408).

Almost surely, 2^480117216 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 480117216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649603584).

480117216 is an abundant number, since it is smaller than the sum of its proper divisors (819089952).

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

480117216 is a wasteful number, since it uses less digits than its factorization.

480117216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 480117216 is about 21911.5772138840. The cubic root of 480117216 is about 783.0372570917.

The spelling of 480117216 in words is "four hundred eighty million, one hundred seventeen thousand, two hundred sixteen".