800406 has 24 divisors (see below), whose sum is σ = 1769040. Its totient is φ = 261456.

The previous prime is 800399. The next prime is 800407. The reversal of 800406 is 604008.

800406 = 159² + 160² + ... + 185².

800406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 535 + ... + 1373.

It is an arithmetic number, because the mean of its divisors is an integer number (73710).

2⁸⁰⁰⁴⁰⁶ is an apocalyptic number.

800406 is an abundant number, since it is smaller than the sum of its proper divisors (968634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800406 is a wasteful number, since it uses less digits than its factorization.

800406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 900 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 800406 is about 894.6541231113. The cubic root of 800406 is about 92.8474780586.

The spelling of 800406 in words is "eight hundred thousand, four hundred six".