1444224320 has 112 divisors (see below), whose sum is σ = 4287731328. Its totient is φ = 450140160.

The previous prime is 1444224289. The next prime is 1444224337. The reversal of 1444224320 is 234224441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 1444224320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4667 + ... + 53946.

Almost surely, 2^1444224320 is an apocalyptic number.

1444224320 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 1444224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2143865664).

1444224320 is an abundant number, since it is smaller than the sum of its proper divisors (2843507008).

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

1444224320 is a wasteful number, since it uses less digits than its factorization.

1444224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58648 (or 58638 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

The square root of 1444224320 is about 38002.9514643271. The cubic root of 1444224320 is about 1130.3463892259.

Adding to 1444224320 its reverse (234224441), we get a palindrome (1678448761).

The spelling of 1444224320 in words is "one billion, four hundred forty-four million, two hundred twenty-four thousand, three hundred twenty".