409418944 has 56 divisors (see below), whose sum is σ = 898891776. Its totient is φ = 183456000.

The previous prime is 409418921. The next prime is 409418969. The reversal of 409418944 is 449814904.

It is a happy number.

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 409418944.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45889 + ... + 54079.

Almost surely, 2^409418944 is an apocalyptic number.

409418944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409418944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449445888).

409418944 is an abundant number, since it is smaller than the sum of its proper divisors (489472832).

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

409418944 is a wasteful number, since it uses less digits than its factorization.

409418944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8285 (or 8275 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 409418944 is about 20234.1034889120. The cubic root of 409418944 is about 742.5447717942.

The spelling of 409418944 in words is "four hundred nine million, four hundred eighteen thousand, nine hundred forty-four".