480462516 has 72 divisors (see below), whose sum is σ = 1275630720. Its totient is φ = 158101632.

The previous prime is 480462491. The next prime is 480462523. The reversal of 480462516 is 615264084.

480462516 is a `hidden beast` number, since 4 + 80 + 4 + 62 + 516 = 666.

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73660 + ... + 79916.

Almost surely, 2^480462516 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 480462516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637815360).

480462516 is an abundant number, since it is smaller than the sum of its proper divisors (795168204).

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

480462516 is a wasteful number, since it uses less digits than its factorization.

480462516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6355 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 480462516 is about 21919.4551939595. The cubic root of 480462516 is about 783.2249320747.

The spelling of 480462516 in words is "four hundred eighty million, four hundred sixty-two thousand, five hundred sixteen".