904909409 has 8 divisors (see below), whose sum is σ = 964014240. Its totient is φ = 846952416.

The previous prime is 904909393. The next prime is 904909427.

It is a happy number.

904909409 is nontrivially palindromic in base 10.

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 904909409 - 2⁴ = 904909393 is a prime.

It is a super-2 number, since 2×904909409² = 1637722076993458562, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 904909409.

It is not an unprimeable number, because it can be changed into a prime (904909429) 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, 285332 + ... + 288485.

It is an arithmetic number, because the mean of its divisors is an integer number (120501780).

Almost surely, 2^904909409 is an apocalyptic number.

It is an amenable number.

904909409 is a deficient number, since it is larger than the sum of its proper divisors (59104831).

904909409 is a wasteful number, since it uses less digits than its factorization.

904909409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573919.

The product of its (nonzero) digits is 104976, while the sum is 44.

The square root of 904909409 is about 30081.7122019343. The cubic root of 904909409 is about 967.2417511207.

It can be divided in two parts, 90490 and 9409, that added together give a palindrome (99899).

The spelling of 904909409 in words is "nine hundred four million, nine hundred nine thousand, four hundred nine".