834408009 has 24 divisors (see below), whose sum is σ = 1275747200. Its totient is φ = 524063520.

The previous prime is 834407969. The next prime is 834408023. The reversal of 834408009 is 900804438.

It is not a de Polignac number, because 834408009 - 2²⁰ = 833359433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (834408409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17472 + ... + 44430.

Almost surely, 2^834408009 is an apocalyptic number.

It is an amenable number.

834408009 is a deficient number, since it is larger than the sum of its proper divisors (441339191).

834408009 is a wasteful number, since it uses less digits than its factorization.

834408009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27165 (or 27162 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 834408009 is about 28886.1213907302. The cubic root of 834408009 is about 941.4403785216.

The spelling of 834408009 in words is "eight hundred thirty-four million, four hundred eight thousand, nine".