800401 has 4 divisors (see below), whose sum is σ = 914752. Its totient is φ = 686052.

The previous prime is 800399. The next prime is 800407. The reversal of 800401 is 104008.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 800401 - 2¹ = 800399 is a prime.

It is a Duffinian number.

It is a zygodrome in base 3.

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 3 ways as a sum of consecutive naturals, for example, 57165 + ... + 57178.

It is an arithmetic number, because the mean of its divisors is an integer number (228688).

2⁸⁰⁰⁴⁰¹ is an apocalyptic number.

It is an amenable number.

800401 is a deficient number, since it is larger than the sum of its proper divisors (114351).

800401 is a wasteful number, since it uses less digits than its factorization.

800401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114350.

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 800401 is about 894.6513287309. The cubic root of 800401 is about 92.8472847241.

Adding to 800401 its reverse (104008), we get a palindrome (904409).

The spelling of 800401 in words is "eight hundred thousand, four hundred one".