406644 has 48 divisors (see below), whose sum is σ = 1118208. Its totient is φ = 112608.

The previous prime is 406633. The next prime is 406649. The reversal of 406644 is 446604.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3897 + ... + 3999.

It is an arithmetic number, because the mean of its divisors is an integer number (23296).

2⁴⁰⁶⁶⁴⁴ 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 406644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559104).

406644 is an abundant number, since it is smaller than the sum of its proper divisors (711564).

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

406644 is a wasteful number, since it uses less digits than its factorization.

406644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 406644 is about 637.6864433246. The cubic root of 406644 is about 74.0863370191.

The spelling of 406644 in words is "four hundred six thousand, six hundred forty-four".