406692 has 72 divisors (see below), whose sum is σ = 1223040. Its totient is φ = 112320.

The previous prime is 406673. The next prime is 406697. The reversal of 406692 is 296604.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 406692.

It is not an unprimeable number, because it can be changed into a prime (406697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5109 + ... + 5187.

2⁴⁰⁶⁶⁹² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611520).

406692 is an abundant number, since it is smaller than the sum of its proper divisors (816348).

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

406692 is a wasteful number, since it uses less digits than its factorization.

406692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 406692 is about 637.7240782658. The cubic root of 406692 is about 74.0892519392.

The spelling of 406692 in words is "four hundred six thousand, six hundred ninety-two".