404224000 has 96 divisors (see below), whose sum is σ = 1009335600. Its totient is φ = 161587200.

The previous prime is 404223997. The next prime is 404224019. The reversal of 404224000 is 422404.

404224000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 255211 + ... + 256789.

Almost surely, 2^404224000 is an apocalyptic number.

404224000 is a gapful number since it is divisible by the number (40) 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 404224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504667800).

404224000 is an abundant number, since it is smaller than the sum of its proper divisors (605111600).

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

404224000 is an equidigital number, since it uses as much as digits as its factorization.

404224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 404224000 is about 20105.3226783357. The cubic root of 404224000 is about 739.3907817629.

Adding to 404224000 its reverse (422404), we get a palindrome (404646404).

The spelling of 404224000 in words is "four hundred four million, two hundred twenty-four thousand".