480590 has 32 divisors (see below), whose sum is σ = 1003104. Its totient is φ = 163840.

The previous prime is 480587. The next prime is 480647. The reversal of 480590 is 95084.

480590 is nontrivially palindromic in base 9.

It is a super-3 number, since 3×480590³ = 333000928408137000, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 480590.

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 15 ways as a sum of consecutive naturals, for example, 1742 + ... + 1998.

It is an arithmetic number, because the mean of its divisors is an integer number (31347).

2⁴⁸⁰⁵⁹⁰ is an apocalyptic number.

480590 is an abundant number, since it is smaller than the sum of its proper divisors (522514).

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

480590 is a wasteful number, since it uses less digits than its factorization.

480590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 480590 is about 693.2459880879. The cubic root of 480590 is about 78.3294198538.

The spelling of 480590 in words is "four hundred eighty thousand, five hundred ninety".