404333200384 has 99 divisors (see below), whose sum is σ = 836490867933. Its totient is φ = 195339878400.

The previous prime is 404333200357. The next prime is 404333200387. The reversal of 404333200384 is 483002333404.

The square root of 404333200384 is 635872.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 364970640384 + 39362560000 = 604128^2 + 198400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (404333200387) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 630784704 + ... + 630785344.

Almost surely, 2^404333200384 is an apocalyptic number.

404333200384 is the 635872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 404333200384

404333200384 is an abundant number, since it is smaller than the sum of its proper divisors (432157667549).

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

404333200384 is an frugal number, since it uses more digits than its factorization.

404333200384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 404333200384 its reverse (483002333404), we get a palindrome (887335533788).

The spelling of 404333200384 in words is "four hundred four billion, three hundred thirty-three million, two hundred thousand, three hundred eighty-four".