8208408009 has 8 divisors (see below), whose sum is σ = 10968184192. Its totient is φ = 5460451920.

The previous prime is 8208408007. The next prime is 8208408041. The reversal of 8208408009 is 9008048028.

It is a happy number.

8208408009 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 8208408009 - 2¹ = 8208408007 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8208408001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2953402 + ... + 2956179.

It is an arithmetic number, because the mean of its divisors is an integer number (1371023024).

Almost surely, 2^8208408009 is an apocalyptic number.

It is an amenable number.

8208408009 is a deficient number, since it is larger than the sum of its proper divisors (2759776183).

8208408009 is a wasteful number, since it uses less digits than its factorization.

8208408009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5910047.

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 8208408009 is about 90600.2649499437. The cubic root of 8208408009 is about 2017.2186674102.

The spelling of 8208408009 in words is "eight billion, two hundred eight million, four hundred eight thousand, nine".