480446316 has 180 divisors, whose sum is σ = 1526890288. Its totient is φ = 129019392.

The previous prime is 480446269. The next prime is 480446327. The reversal of 480446316 is 613644084.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 655086 + ... + 655818.

Almost surely, 2^480446316 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 480446316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763445144).

480446316 is an abundant number, since it is smaller than the sum of its proper divisors (1046443972).

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

480446316 is a wasteful number, since it uses less digits than its factorization.

480446316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 480446316 is about 21919.0856561126. The cubic root of 480446316 is about 783.2161291775.

The spelling of 480446316 in words is "four hundred eighty million, four hundred forty-six thousand, three hundred sixteen".