9006409 has 8 divisors (see below), whose sum is σ = 9558720. Its totient is φ = 8467536.

The previous prime is 9006397. The next prime is 9006419. The reversal of 9006409 is 9046009.

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

It is a cyclic number.

It is not a de Polignac number, because 9006409 - 2⁵ = 9006377 is a prime.

It is a super-2 number, since 2×9006409² = 162230806150562, which contains 22 as substring.

It is a Duffinian number.

9006409 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (9006419) 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 7 ways as a sum of consecutive naturals, for example, 1962 + ... + 4675.

It is an arithmetic number, because the mean of its divisors is an integer number (1194840).

Almost surely, 2^9006409 is an apocalyptic number.

It is an amenable number.

9006409 is a deficient number, since it is larger than the sum of its proper divisors (552311).

9006409 is a wasteful number, since it uses less digits than its factorization.

9006409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6719.

The product of its (nonzero) digits is 1944, while the sum is 28.

The square root of 9006409 is about 3001.0679765710. The cubic root of 9006409 is about 208.0577456164.

The spelling of 9006409 in words is "nine million, six thousand, four hundred nine".