406686 has 32 divisors (see below), whose sum is σ = 972288. Its totient is φ = 110880.

The previous prime is 406673. The next prime is 406697. The reversal of 406686 is 686604.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

406686 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 15 ways as a sum of consecutive naturals, for example, 756 + ... + 1176.

It is an arithmetic number, because the mean of its divisors is an integer number (30384).

2⁴⁰⁶⁶⁸⁶ is an apocalyptic number.

406686 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 406686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486144).

406686 is an abundant number, since it is smaller than the sum of its proper divisors (565602).

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

406686 is a wasteful number, since it uses less digits than its factorization.

406686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 406686 is about 637.7193740196. The cubic root of 406686 is about 74.0888875867.

The spelling of 406686 in words is "four hundred six thousand, six hundred eighty-six".