444190720 has 156 divisors (see below), whose sum is σ = 1141464996. Its totient is φ = 165806080.

The previous prime is 444190711. The next prime is 444190727. The reversal of 444190720 is 27091444.

It can be written as a sum of positive squares in 2 ways, for example, as 78004224 + 366186496 = 8832^2 + 19136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444190727) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 10833900 + ... + 10833940.

Almost surely, 2^444190720 is an apocalyptic number.

444190720 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 444190720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570732498).

444190720 is an abundant number, since it is smaller than the sum of its proper divisors (697274276).

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

444190720 is an equidigital number, since it uses as much as digits as its factorization.

444190720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 444190720 is about 21075.8326051428. The cubic root of 444190720 is about 762.9975797329.

The spelling of 444190720 in words is "four hundred forty-four million, one hundred ninety thousand, seven hundred twenty".