408841344 has 160 divisors (see below), whose sum is σ = 1244073600. Its totient is φ = 133221888.

The previous prime is 408841343. The next prime is 408841369. The reversal of 408841344 is 443148804.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 408841299 and 408841308.

It is not an unprimeable number, because it can be changed into a prime (408841343) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 486877 + ... + 487715.

It is an arithmetic number, because the mean of its divisors is an integer number (7775460).

Almost surely, 2^408841344 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 408841344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622036800).

408841344 is an abundant number, since it is smaller than the sum of its proper divisors (835232256).

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

408841344 is an equidigital number, since it uses as much as digits as its factorization.

408841344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 408841344 is about 20219.8255185350. The cubic root of 408841344 is about 742.1954183863.

The spelling of 408841344 in words is "four hundred eight million, eight hundred forty-one thousand, three hundred forty-four".