408009 has 8 divisors (see below), whose sum is σ = 621760. Its totient is φ = 233136.

The previous prime is 407993. The next prime is 408011. The reversal of 408009 is 900804.

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

It is not a de Polignac number, because 408009 - 2⁴ = 407993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21), and also a Moran number because the ratio is a prime number: 19429 = 408009 / (4 + 0 + 8 + 0 + 0 + 9).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (408019) 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, 9694 + ... + 9735.

It is an arithmetic number, because the mean of its divisors is an integer number (77720).

2⁴⁰⁸⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

408009 is a deficient number, since it is larger than the sum of its proper divisors (213751).

408009 is a wasteful number, since it uses less digits than its factorization.

408009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19439.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 408009 is about 638.7558218913. The cubic root of 408009 is about 74.1691407386.

The spelling of 408009 in words is "four hundred eight thousand, nine".