1444712256 has 168 divisors, whose sum is σ = 4614016680. Its totient is φ = 429133824.

The previous prime is 1444712239. The next prime is 1444712257. The reversal of 1444712256 is 6522174441.

It can be written as a sum of positive squares in 4 ways, for example, as 15872256 + 1428840000 = 3984^2 + 37800^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1444712256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444712257) 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 23 ways as a sum of consecutive naturals, for example, 213826 + ... + 220478.

It is an arithmetic number, because the mean of its divisors is an integer number (27464385).

Almost surely, 2^1444712256 is an apocalyptic number.

1444712256 is a gapful number since it is divisible by the number (16) 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 1444712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2307008340).

1444712256 is an abundant number, since it is smaller than the sum of its proper divisors (3169304424).

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

1444712256 is a wasteful number, since it uses less digits than its factorization.

1444712256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713 (or 6700 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 1444712256 is about 38009.3706340950. The cubic root of 1444712256 is about 1130.4736719910.

Adding to 1444712256 its reverse (6522174441), we get a palindrome (7966886697).

The spelling of 1444712256 in words is "one billion, four hundred forty-four million, seven hundred twelve thousand, two hundred fifty-six".