800409 has 8 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 531536.

The previous prime is 800407. The next prime is 800417. The reversal of 800409 is 904008.

800409 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 a cyclic number.

It is not a de Polignac number, because 800409 - 2¹ = 800407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (800407) 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, 1159 + ... + 1715.

It is an arithmetic number, because the mean of its divisors is an integer number (133920).

2⁸⁰⁰⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

800409 is a deficient number, since it is larger than the sum of its proper divisors (270951).

800409 is a wasteful number, since it uses less digits than its factorization.

800409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 800409 is about 894.6557997353. The cubic root of 800409 is about 92.8475940590.

The spelling of 800409 in words is "eight hundred thousand, four hundred nine".