417409 has 4 divisors (see below), whose sum is σ = 423360. Its totient is φ = 411460.

The previous prime is 417383. The next prime is 417419. The reversal of 417409 is 904714.

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 a cyclic number.

It is not a de Polignac number, because 417409 - 2⁵ = 417377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (417419) 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, 2869 + ... + 3010.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

2⁴¹⁷⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

417409 is a deficient number, since it is larger than the sum of its proper divisors (5951).

417409 is an equidigital number, since it uses as much as digits as its factorization.

417409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 417409 is about 646.0719774143. The cubic root of 417409 is about 74.7344087421.

The spelling of 417409 in words is "four hundred seventeen thousand, four hundred nine".