409409 has 16 divisors (see below), whose sum is σ = 551040. Its totient is φ = 293760.

The previous prime is 409397. The next prime is 409429. The reversal of 409409 is 904904.

It is a cyclic number.

It is not a de Polignac number, because 409409 - 2⁸ = 409153 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (409429) 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, 797 + ... + 1205.

It is an arithmetic number, because the mean of its divisors is an integer number (34440).

2⁴⁰⁹⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

409409 is a deficient number, since it is larger than the sum of its proper divisors (141631).

409409 is a wasteful number, since it uses less digits than its factorization.

409409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440.

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 409409 is about 639.8507638504. The cubic root of 409409 is about 74.2538760083.

It can be divided in two parts, 409 and 409, that added together give a palindrome (818).

The spelling of 409409 in words is "four hundred nine thousand, four hundred nine".