480468660 has 96 divisors (see below), whose sum is σ = 1541809920. Its totient is φ = 109513728.

The previous prime is 480468641. The next prime is 480468673. The reversal of 480468660 is 66864084.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 170382 + ... + 173178.

It is an arithmetic number, because the mean of its divisors is an integer number (16060520).

Almost surely, 2^480468660 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 480468660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770904960).

480468660 is an abundant number, since it is smaller than the sum of its proper divisors (1061341260).

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

480468660 is a wasteful number, since it uses less digits than its factorization.

480468660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3225 (or 3223 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 480468660 is about 21919.5953429802. The cubic root of 480468660 is about 783.2282706033.

The spelling of 480468660 in words is "four hundred eighty million, four hundred sixty-eight thousand, six hundred sixty".