405009 has 12 divisors (see below), whose sum is σ = 638352. Its totient is φ = 245400.

The previous prime is 405001. The next prime is 405011. The reversal of 405009 is 900504.

It is not a de Polignac number, because 405009 - 2³ = 405001 is a prime.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 404982 and 405000.

It is not an unprimeable number, because it can be changed into a prime (405001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1947 + ... + 2144.

It is an arithmetic number, because the mean of its divisors is an integer number (53196).

2⁴⁰⁵⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

405009 is a deficient number, since it is larger than the sum of its proper divisors (233343).

405009 is a wasteful number, since it uses less digits than its factorization.

405009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4108 (or 4105 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 405009 is about 636.4031740964. The cubic root of 405009 is about 73.9869102730.

The spelling of 405009 in words is "four hundred five thousand, nine".