408744 has 48 divisors (see below), whose sum is σ = 1266720. Its totient is φ = 116640.

The previous prime is 408743. The next prime is 408763. The reversal of 408744 is 447804.

It is not an unprimeable number, because it can be changed into a prime (408743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99 + ... + 909.

It is an arithmetic number, because the mean of its divisors is an integer number (26390).

2⁴⁰⁸⁷⁴⁴ 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 408744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633360).

408744 is an abundant number, since it is smaller than the sum of its proper divisors (857976).

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

408744 is a wasteful number, since it uses less digits than its factorization.

408744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 408744 is about 639.3309002387. The cubic root of 408744 is about 74.2136508814.

Subtracting 408744 from its reverse (447804), we obtain a triangular number (39060 = T₂₇₉).

The spelling of 408744 in words is "four hundred eight thousand, seven hundred forty-four".