409324944 has 80 divisors (see below), whose sum is σ = 1211172480. Its totient is φ = 116689920.

The previous prime is 409324939. The next prime is 409324957. The reversal of 409324944 is 449423904.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 190114 + ... + 192254.

It is an arithmetic number, because the mean of its divisors is an integer number (15139656).

Almost surely, 2^409324944 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 409324944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605586240).

409324944 is an abundant number, since it is smaller than the sum of its proper divisors (801847536).

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

409324944 is a wasteful number, since it uses less digits than its factorization.

409324944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The square root of 409324944 is about 20231.7805444800. The cubic root of 409324944 is about 742.4879395835.

The spelling of 409324944 in words is "four hundred nine million, three hundred twenty-four thousand, nine hundred forty-four".