480205476 has 24 divisors (see below), whose sum is σ = 1244977440. Its totient is φ = 160068456.

The previous prime is 480205457. The next prime is 480205501. The reversal of 480205476 is 674502084.

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

It is a self number, because there is not a number n which added to its sum of digits gives 480205476.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2223066 + ... + 2223281.

It is an arithmetic number, because the mean of its divisors is an integer number (51874060).

Almost surely, 2^480205476 is an apocalyptic number.

It is an amenable number.

480205476 is an abundant number, since it is smaller than the sum of its proper divisors (764771964).

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

480205476 is a wasteful number, since it uses less digits than its factorization.

480205476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4446360 (or 4446352 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 480205476 is about 21913.5911251442. The cubic root of 480205476 is about 783.0852360932.

The spelling of 480205476 in words is "four hundred eighty million, two hundred five thousand, four hundred seventy-six".