408044 has 48 divisors (see below), whose sum is σ = 940800. Its totient is φ = 150336.

The previous prime is 408041. The next prime is 408049. The reversal of 408044 is 440804.

It is not an unprimeable number, because it can be changed into a prime (408041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6887 + ... + 6945.

It is an arithmetic number, because the mean of its divisors is an integer number (19600).

2⁴⁰⁸⁰⁴⁴ 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 408044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470400).

408044 is an abundant number, since it is smaller than the sum of its proper divisors (532756).

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

408044 is a wasteful number, since it uses less digits than its factorization.

408044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 408044 is about 638.7832183143. The cubic root of 408044 is about 74.1712614808.

Adding to 408044 its reverse (440804), we get a palindrome (848848).

It can be divided in two parts, 40804 and 4, that multiplied together give a square (163216 = 404²).

The spelling of 408044 in words is "four hundred eight thousand, forty-four".