1444838560 has 96 divisors (see below), whose sum is σ = 3732511104. Its totient is φ = 524160000.

The previous prime is 1444838539. The next prime is 1444838561. The reversal of 1444838560 is 658384441.

It is not an unprimeable number, because it can be changed into a prime (1444838561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1109910 + ... + 1111210.

It is an arithmetic number, because the mean of its divisors is an integer number (38880324).

Almost surely, 2^1444838560 is an apocalyptic number.

1444838560 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 1444838560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1866255552).

1444838560 is an abundant number, since it is smaller than the sum of its proper divisors (2287672544).

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

1444838560 is a wasteful number, since it uses less digits than its factorization.

1444838560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1958 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The square root of 1444838560 is about 38011.0320828046. The cubic root of 1444838560 is about 1130.5066149260.

The spelling of 1444838560 in words is "one billion, four hundred forty-four million, eight hundred thirty-eight thousand, five hundred sixty".