409885 has 16 divisors (see below), whose sum is σ = 576000. Its totient is φ = 279888.

The previous prime is 409879. The next prime is 409889. The reversal of 409885 is 588904.

It is not a de Polignac number, because 409885 - 2¹⁷ = 278813 is a prime.

409885 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 409885.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1596 + ... + 1834.

It is an arithmetic number, because the mean of its divisors is an integer number (36000).

2⁴⁰⁹⁸⁸⁵ is an apocalyptic number.

It is an amenable number.

409885 is a deficient number, since it is larger than the sum of its proper divisors (166115).

409885 is an equidigital number, since it uses as much as digits as its factorization.

409885 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 409885 is about 640.2226175324. Note that the first 3 decimals coincide. The cubic root of 409885 is about 74.2826419904.

The spelling of 409885 in words is "four hundred nine thousand, eight hundred eighty-five".