480365584 has 20 divisors (see below), whose sum is σ = 960732160. Its totient is φ = 232434720.

The previous prime is 480365533. The next prime is 480365609. The reversal of 480365584 is 485563084.

480365584 is an admirable number.

It is a super-2 number, since 2×480365584² = 461502188583322112, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480365584.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 483744 + ... + 484735.

It is an arithmetic number, because the mean of its divisors is an integer number (48036608).

Almost surely, 2^480365584 is an apocalyptic number.

It is an amenable number.

480365584 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

480365584 is a wasteful number, since it uses less digits than its factorization.

480365584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968518 (or 968512 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 43.

The square root of 480365584 is about 21917.2439873265. The cubic root of 480365584 is about 783.1722573688.

The spelling of 480365584 in words is "four hundred eighty million, three hundred sixty-five thousand, five hundred eighty-four".