4444224200 has 48 divisors (see below), whose sum is σ = 11127660180. Its totient is φ = 1640943360.

The previous prime is 4444224163. The next prime is 4444224229. The reversal of 4444224200 is 24224444.

It can be written as a sum of positive squares in 6 ways, for example, as 45616516 + 4398607684 = 6754^2 + 66322^2 .

It is a super-3 number, since 3×4444224200³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4444224200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 852059 + ... + 857258.

Almost surely, 2^4444224200 is an apocalyptic number.

4444224200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444224200 is an abundant number, since it is smaller than the sum of its proper divisors (6683435980).

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

4444224200 is a wasteful number, since it uses less digits than its factorization.

4444224200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709346 (or 1709337 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

The square root of 4444224200 is about 66665.0148128687. The cubic root of 4444224200 is about 1644.1142239629.

Adding to 4444224200 its reverse (24224444), we get a palindrome (4468448644).

The spelling of 4444224200 in words is "four billion, four hundred forty-four million, two hundred twenty-four thousand, two hundred".