409323232 has 48 divisors (see below), whose sum is σ = 850348800. Its totient is φ = 193415040.

The previous prime is 409323227. The next prime is 409323259. The reversal of 409323232 is 232323904.

It is a self number, because there is not a number n which added to its sum of digits gives 409323232.

It is a congruent 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 7 ways as a sum of consecutive naturals, for example, 448857 + ... + 449767.

It is an arithmetic number, because the mean of its divisors is an integer number (17715600).

Almost surely, 2^409323232 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 409323232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425174400).

409323232 is an abundant number, since it is smaller than the sum of its proper divisors (441025568).

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

409323232 is a wasteful number, since it uses less digits than its factorization.

409323232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The square root of 409323232 is about 20231.7382347637. The cubic root of 409323232 is about 742.4869044311.

The spelling of 409323232 in words is "four hundred nine million, three hundred twenty-three thousand, two hundred thirty-two".