406689 has 8 divisors (see below), whose sum is σ = 559872. Its totient is φ = 262320.

The previous prime is 406673. The next prime is 406697. The reversal of 406689 is 986604.

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

It is not a de Polignac number, because 406689 - 2⁴ = 406673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2094 + ... + 2279.

It is an arithmetic number, because the mean of its divisors is an integer number (69984).

2⁴⁰⁶⁶⁸⁹ is an apocalyptic number.

It is an amenable number.

406689 is a deficient number, since it is larger than the sum of its proper divisors (153183).

406689 is a wasteful number, since it uses less digits than its factorization.

406689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4407.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 406689 is about 637.7217261471. The cubic root of 406689 is about 74.0890697634.

The spelling of 406689 in words is "four hundred six thousand, six hundred eighty-nine".