408944 has 20 divisors (see below), whose sum is σ = 807240. Its totient is φ = 200640.

The previous prime is 408943. The next prime is 408953. The reversal of 408944 is 449804.

It is a happy number.

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408943) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 767 + ... + 1185.

It is an arithmetic number, because the mean of its divisors is an integer number (40362).

2⁴⁰⁸⁹⁴⁴ is an apocalyptic number.

It is an amenable number.

408944 is a deficient number, since it is larger than the sum of its proper divisors (398296).

408944 is a wasteful number, since it uses less digits than its factorization.

408944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 408944 is about 639.4872946353. The cubic root of 408944 is about 74.2257532487.

The spelling of 408944 in words is "four hundred eight thousand, nine hundred forty-four".