409323904 has 64 divisors (see below), whose sum is σ = 903067200. Its totient is φ = 183237120.

The previous prime is 409323881. The next prime is 409323911.

409323904 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 409323904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92167 + ... + 96505.

It is an arithmetic number, because the mean of its divisors is an integer number (14110425).

Almost surely, 2^409323904 is an apocalyptic number.

409323904 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 409323904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (451533600).

409323904 is an abundant number, since it is smaller than the sum of its proper divisors (493743296).

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

409323904 is a wasteful number, since it uses less digits than its factorization.

409323904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4431 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The square root of 409323904 is about 20231.7548423265. The cubic root of 409323904 is about 742.4873107529.

The spelling of 409323904 in words is "four hundred nine million, three hundred twenty-three thousand, nine hundred four".