4006409 has 12 divisors (see below), whose sum is σ = 4528080. Its totient is φ = 3515400.

The previous prime is 4006403. The next prime is 4006411. The reversal of 4006409 is 9046004.

It is not a de Polignac number, because 4006409 - 2⁸ = 4006153 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4006403) 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, 10382 + ... + 10760.

It is an arithmetic number, because the mean of its divisors is an integer number (377340).

Almost surely, 2^4006409 is an apocalyptic number.

It is an amenable number.

4006409 is a deficient number, since it is larger than the sum of its proper divisors (521671).

4006409 is a wasteful number, since it uses less digits than its factorization.

4006409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 4006409 is about 2001.6016087124. The cubic root of 4006409 is about 158.8248404018.

The spelling of 4006409 in words is "four million, six thousand, four hundred nine".