1044224000 has 96 divisors (see below), whose sum is σ = 2606385600. Its totient is φ = 417587200.

The previous prime is 1044223993. The next prime is 1044224009. The reversal of 1044224000 is 4224401.

It is a self number, because there is not a number n which added to its sum of digits gives 1044224000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044224009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 253961 + ... + 258039.

It is an arithmetic number, because the mean of its divisors is an integer number (27149850).

Almost surely, 2^1044224000 is an apocalyptic number.

1044224000 is a gapful number since it is divisible by the number (10) 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 1044224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303192800).

1044224000 is an abundant number, since it is smaller than the sum of its proper divisors (1562161600).

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

1044224000 is an frugal number, since it uses more digits than its factorization.

1044224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4116 (or 4086 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 1044224000 is about 32314.4549698738. The cubic root of 1044224000 is about 1014.5292129419.

Adding to 1044224000 its reverse (4224401), we get a palindrome (1048448401).

The spelling of 1044224000 in words is "one billion, forty-four million, two hundred twenty-four thousand".