413409 has 4 divisors (see below), whose sum is σ = 551216. Its totient is φ = 275604.

The previous prime is 413353. The next prime is 413411. The reversal of 413409 is 904314.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 413409 - 2¹¹ = 411361 is a prime.

It is a D-number.

It is a Duffinian number.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (413429) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68899 + ... + 68904.

It is an arithmetic number, because the mean of its divisors is an integer number (137804).

2⁴¹³⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

413409 is a deficient number, since it is larger than the sum of its proper divisors (137807).

413409 is a wasteful number, since it uses less digits than its factorization.

413409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137806.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 413409 is about 642.9688950486. The cubic root of 413409 is about 74.4949172996.

The spelling of 413409 in words is "four hundred thirteen thousand, four hundred nine".