408409 has 4 divisors (see below), whose sum is σ = 411300. Its totient is φ = 405520.

The previous prime is 408403. The next prime is 408413. The reversal of 408409 is 904804.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 81225 + 327184 = 285^2 + 572^2 .

It is a cyclic number.

It is not a de Polignac number, because 408409 - 2¹¹ = 406361 is a prime.

It is a super-2 number, since 2×408409² = 333595822562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1222 + ... + 1519.

It is an arithmetic number, because the mean of its divisors is an integer number (102825).

2⁴⁰⁸⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

408409 is a deficient number, since it is larger than the sum of its proper divisors (2891).

408409 is a wasteful number, since it uses less digits than its factorization.

408409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 408409 is about 639.0688538804. The cubic root of 408409 is about 74.1933705689.

The spelling of 408409 in words is "four hundred eight thousand, four hundred nine".