405580 has 24 divisors (see below), whose sum is σ = 973728. Its totient is φ = 139008.

The previous prime is 405577. The next prime is 405599. The reversal of 405580 is 85504.

It is a happy number.

It is a super-3 number, since 3×405580³ = 200147812263336000, which contains 333 as substring.

It is a plaindrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1309 + ... + 1588.

It is an arithmetic number, because the mean of its divisors is an integer number (40572).

2⁴⁰⁵⁵⁸⁰ is an apocalyptic number.

It is an amenable number.

405580 is an abundant number, since it is smaller than the sum of its proper divisors (568148).

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

405580 is a wasteful number, since it uses less digits than its factorization.

405580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2913 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 405580 is about 636.8516310727. The cubic root of 405580 is about 74.0216639761.

The spelling of 405580 in words is "four hundred five thousand, five hundred eighty".