480584 has 16 divisors (see below), whose sum is σ = 970620. Its totient is φ = 221760.

The previous prime is 480583. The next prime is 480587. The reversal of 480584 is 485084.

It can be written as a sum of positive squares in 2 ways, for example, as 448900 + 31684 = 670^2 + 178^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480584.

It is not an unprimeable number, because it can be changed into a prime (480583) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2207 + ... + 2414.

2⁴⁸⁰⁵⁸⁴ is an apocalyptic number.

It is an amenable number.

480584 is an abundant number, since it is smaller than the sum of its proper divisors (490036).

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

480584 is a wasteful number, since it uses less digits than its factorization.

480584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4640 (or 4636 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 480584 is about 693.2416606062. The cubic root of 480584 is about 78.3290938805.

The spelling of 480584 in words is "four hundred eighty thousand, five hundred eighty-four".