410409 has 12 divisors (see below), whose sum is σ = 612352. Its totient is φ = 264600.

The previous prime is 410401. The next prime is 410411. The reversal of 410409 is 904014.

It is not a de Polignac number, because 410409 - 2³ = 410401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 410391 and 410400.

It is not an unprimeable number, because it can be changed into a prime (410401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 457 + ... + 1014.

2⁴¹⁰⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

410409 is a deficient number, since it is larger than the sum of its proper divisors (201943).

410409 is a wasteful number, since it uses less digits than its factorization.

410409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 410409 is about 640.6317194770. The cubic root of 410409 is about 74.3142830029.

The spelling of 410409 in words is "four hundred ten thousand, four hundred nine".