820304409 has 8 divisors (see below), whose sum is σ = 1094735232. Its totient is φ = 546371600.

The previous prime is 820304377. The next prime is 820304413. The reversal of 820304409 is 904403028.

It is a happy number.

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 820304409 - 2⁵ = 820304377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (820304209) 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, 120642 + ... + 127259.

It is an arithmetic number, because the mean of its divisors is an integer number (136841904).

Almost surely, 2^820304409 is an apocalyptic number.

It is an amenable number.

820304409 is a deficient number, since it is larger than the sum of its proper divisors (274430823).

820304409 is a wasteful number, since it uses less digits than its factorization.

820304409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249007.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 820304409 is about 28640.9568450497. The cubic root of 820304409 is about 936.1059706796.

The spelling of 820304409 in words is "eight hundred twenty million, three hundred four thousand, four hundred nine".