406805 has 16 divisors (see below), whose sum is σ = 570240. Its totient is φ = 272832.

The previous prime is 406789. The next prime is 406807. The reversal of 406805 is 508604.

It is not a de Polignac number, because 406805 - 2⁴ = 406789 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1967 + ... + 2163.

It is an arithmetic number, because the mean of its divisors is an integer number (35640).

2⁴⁰⁶⁸⁰⁵ is an apocalyptic number.

It is an amenable number.

406805 is a deficient number, since it is larger than the sum of its proper divisors (163435).

406805 is a wasteful number, since it uses less digits than its factorization.

406805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268.

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 406805 is about 637.8126684223. The cubic root of 406805 is about 74.0961132414.

The spelling of 406805 in words is "four hundred six thousand, eight hundred five".