406344 has 16 divisors (see below), whose sum is σ = 1015920. Its totient is φ = 135440.

The previous prime is 406339. The next prime is 406349. The reversal of 406344 is 443604.

It is an interprime number because it is at equal distance from previous prime (406339) and next prime (406349).

It is a self number, because there is not a number n which added to its sum of digits gives 406344.

It is not an unprimeable number, because it can be changed into a prime (406349) by changing a digit.

406344 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 3 ways as a sum of consecutive naturals, for example, 8442 + ... + 8489.

It is an arithmetic number, because the mean of its divisors is an integer number (63495).

2⁴⁰⁶³⁴⁴ is an apocalyptic number.

It is an amenable number.

406344 is an abundant number, since it is smaller than the sum of its proper divisors (609576).

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

406344 is a wasteful number, since it uses less digits than its factorization.

406344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16940 (or 16936 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 406344 is about 637.4511746008. The cubic root of 406344 is about 74.0681135698.

Adding to 406344 its reverse (443604), we get a palindrome (849948).

The spelling of 406344 in words is "four hundred six thousand, three hundred forty-four".