406688 has 24 divisors (see below), whose sum is σ = 816480. Its totient is φ = 199360.

The previous prime is 406673. The next prime is 406697. The reversal of 406688 is 886604.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

406688 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2183 + ... + 2361.

It is an arithmetic number, because the mean of its divisors is an integer number (34020).

2⁴⁰⁶⁶⁸⁸ is an apocalyptic number.

It is an amenable number.

406688 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.

406688 is a wasteful number, since it uses less digits than its factorization.

406688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 406688 is about 637.7209421056. The cubic root of 406688 is about 74.0890090380.

The spelling of 406688 in words is "four hundred six thousand, six hundred eighty-eight".