404385824 has 48 divisors (see below), whose sum is σ = 827076096. Its totient is φ = 194419200.

The previous prime is 404385811. The next prime is 404385847. The reversal of 404385824 is 428583404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164444 + ... + 166884.

It is an arithmetic number, because the mean of its divisors is an integer number (17230752).

Almost surely, 2^404385824 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 404385824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413538048).

404385824 is an abundant number, since it is smaller than the sum of its proper divisors (422690272).

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

404385824 is a wasteful number, since it uses less digits than its factorization.

404385824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2649 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 38.

The square root of 404385824 is about 20109.3466825752. The cubic root of 404385824 is about 739.4894359832.

The spelling of 404385824 in words is "four hundred four million, three hundred eighty-five thousand, eight hundred twenty-four".