414409 has 8 divisors (see below), whose sum is σ = 462240. Its totient is φ = 369216.

The previous prime is 414397. The next prime is 414413. The reversal of 414409 is 904414.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-414409 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 414409.

It is not an unprimeable number, because it can be changed into a prime (414109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 319 + ... + 964.

It is an arithmetic number, because the mean of its divisors is an integer number (57780).

2⁴¹⁴⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

414409 is a deficient number, since it is larger than the sum of its proper divisors (47831).

414409 is a wasteful number, since it uses less digits than its factorization.

414409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319.

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 414409 is about 643.7460679492. The cubic root of 414409 is about 74.5549344838.

The spelling of 414409 in words is "four hundred fourteen thousand, four hundred nine".