444140000 has 120 divisors (see below), whose sum is σ = 1115924040. Its totient is φ = 173888000.

The previous prime is 444139999. The next prime is 444140009. The reversal of 444140000 is 41444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444140009) 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 19 ways as a sum of consecutive naturals, for example, 1059791 + ... + 1060209.

It is an arithmetic number, because the mean of its divisors is an integer number (9299367).

Almost surely, 2^444140000 is an apocalyptic number.

444140000 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 444140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557962020).

444140000 is an abundant number, since it is smaller than the sum of its proper divisors (671784040).

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

444140000 is an equidigital number, since it uses as much as digits as its factorization.

444140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 479 counting only the distinct ones).

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

The square root of 444140000 is about 21074.6292968583. The cubic root of 444140000 is about 762.9685376206.

Adding to 444140000 its reverse (41444), we get a palindrome (444181444).

The spelling of 444140000 in words is "four hundred forty-four million, one hundred forty thousand".