480465900 has 216 divisors, whose sum is σ = 1647644544. Its totient is φ = 116582400.

The previous prime is 480465859. The next prime is 480465919. The reversal of 480465900 is 9564084.

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 71 ways as a sum of consecutive naturals, for example, 473794 + ... + 474806.

It is an arithmetic number, because the mean of its divisors is an integer number (7627984).

Almost surely, 2^480465900 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 480465900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823822272).

480465900 is an abundant number, since it is smaller than the sum of its proper divisors (1167178644).

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

480465900 is a wasteful number, since it uses less digits than its factorization.

480465900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 480465900 is about 21919.5323855232. The cubic root of 480465900 is about 783.2267708772.

The spelling of 480465900 in words is "four hundred eighty million, four hundred sixty-five thousand, nine hundred".