505580 has 24 divisors (see below), whose sum is σ = 1124928. Its totient is φ = 190208.

The previous prime is 505573. The next prime is 505601. The reversal of 505580 is 85505.

It is a happy number.

It is a super-3 number, since 3×505580³ = 387695635023336000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

505580 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 404 + ... + 1083.

It is an arithmetic number, because the mean of its divisors is an integer number (46872).

2⁵⁰⁵⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

505580 is an abundant number, since it is smaller than the sum of its proper divisors (619348).

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

505580 is a wasteful number, since it uses less digits than its factorization.

505580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 505580 is about 711.0414896474. The cubic root of 505580 is about 79.6642175991.

The spelling of 505580 in words is "five hundred five thousand, five hundred eighty".