406806 has 8 divisors (see below), whose sum is σ = 813624. Its totient is φ = 135600.

The previous prime is 406789. The next prime is 406807. The reversal of 406806 is 608604.

It is a sphenic number, since it is the product of 3 distinct primes.

406806 is an admirable number.

It is a super-2 number, since 2×406806² = 330982243272, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406806.

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

406806 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33895 + ... + 33906.

It is an arithmetic number, because the mean of its divisors is an integer number (101703).

2⁴⁰⁶⁸⁰⁶ is an apocalyptic number.

406806 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

406806 is a wasteful number, since it uses less digits than its factorization.

406806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67806.

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 406806 is about 637.8134523511. The cubic root of 406806 is about 74.0961739553.

The spelling of 406806 in words is "four hundred six thousand, eight hundred six".