416409 has 16 divisors (see below), whose sum is σ = 645120. Its totient is φ = 234000.

The previous prime is 416407. The next prime is 416413. The reversal of 416409 is 904614.

It is not a de Polignac number, because 416409 - 2¹ = 416407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416401) 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, 1534 + ... + 1784.

It is an arithmetic number, because the mean of its divisors is an integer number (40320).

2⁴¹⁶⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

416409 is a deficient number, since it is larger than the sum of its proper divisors (228711).

416409 is a wasteful number, since it uses less digits than its factorization.

416409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 416409 is about 645.2976057603. The cubic root of 416409 is about 74.6746798196.

The spelling of 416409 in words is "four hundred sixteen thousand, four hundred nine".