404404224 has 96 divisors (see below), whose sum is σ = 1232300160. Its totient is φ = 115531776.

The previous prime is 404404223. The next prime is 404404229. The reversal of 404404224 is 422404404.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 404404194 and 404404203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404404223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38307 + ... + 47709.

It is an arithmetic number, because the mean of its divisors is an integer number (12836460).

Almost surely, 2^404404224 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 404404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616150080).

404404224 is an abundant number, since it is smaller than the sum of its proper divisors (827895936).

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

404404224 is an equidigital number, since it uses as much as digits as its factorization.

404404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9435 (or 9415 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 404404224 is about 20109.8041760729. The cubic root of 404404224 is about 739.5006516741.

Adding to 404404224 its reverse (422404404), we get a palindrome (826808628).

The spelling of 404404224 in words is "four hundred four million, four hundred four thousand, two hundred twenty-four".