480585 has 32 divisors (see below), whose sum is σ = 921600. Its totient is φ = 209088.

The previous prime is 480583. The next prime is 480587. The reversal of 480585 is 585084.

It is an interprime number because it is at equal distance from previous prime (480583) and next prime (480587).

It is not a de Polignac number, because 480585 - 2¹ = 480583 is a prime.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480585.

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 31 ways as a sum of consecutive naturals, for example, 2316 + ... + 2514.

It is an arithmetic number, because the mean of its divisors is an integer number (28800).

2⁴⁸⁰⁵⁸⁵ is an apocalyptic number.

It is an amenable number.

480585 is a deficient number, since it is larger than the sum of its proper divisors (441015).

480585 is a wasteful number, since it uses less digits than its factorization.

480585 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237.

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 480585 is about 693.2423818550. The cubic root of 480585 is about 78.3291482096.

The spelling of 480585 in words is "four hundred eighty thousand, five hundred eighty-five".