804309 has 8 divisors (see below), whose sum is σ = 1169952. Its totient is φ = 487440.

The previous prime is 804283. The next prime is 804313. The reversal of 804309 is 903408.

804309 is digitally balanced in base 2, 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 804309 - 2¹² = 800213 is a prime.

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

804309 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (804329) 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, 12154 + ... + 12219.

It is an arithmetic number, because the mean of its divisors is an integer number (146244).

2⁸⁰⁴³⁰⁹ is an apocalyptic number.

It is an amenable number.

804309 is a deficient number, since it is larger than the sum of its proper divisors (365643).

804309 is a wasteful number, since it uses less digits than its factorization.

804309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24387.

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 804309 is about 896.8327603294. The cubic root of 804309 is about 92.9981500384.

Subtracting 804309 from its reverse (903408), we obtain a palindrome (99099).

The spelling of 804309 in words is "eight hundred four thousand, three hundred nine".