444112200 has 384 divisors, whose sum is σ = 1809408000. Its totient is φ = 97977600.

The previous prime is 444112189. The next prime is 444112211. The reversal of 444112200 is 2211444.

444112200 is a `hidden beast` number, since 4 + 441 + 1 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (444112189) and next prime (444112211).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1171611 + ... + 1171989.

It is an arithmetic number, because the mean of its divisors is an integer number (4712000).

Almost surely, 2^444112200 is an apocalyptic number.

444112200 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 444112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (904704000).

444112200 is an abundant number, since it is smaller than the sum of its proper divisors (1365295800).

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

444112200 is a wasteful number, since it uses less digits than its factorization.

444112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 444112200 is about 21073.9697257066. The cubic root of 444112200 is about 762.9526184901.

Adding to 444112200 its reverse (2211444), we get a palindrome (446323644).

It can be divided in two parts, 4441 and 12200, that added together give a square (16641 = 129²).

The spelling of 444112200 in words is "four hundred forty-four million, one hundred twelve thousand, two hundred".