1444282560 has 336 divisors, whose sum is σ = 5863084032. Its totient is φ = 319334400.

The previous prime is 1444282559. The next prime is 1444282561. The reversal of 1444282560 is 652824441.

1444282560 is a `hidden beast` number, since 14 + 4 + 4 + 2 + 82 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (1444282559) and next prime (1444282561).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1444282560² = 4171904226240307200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1444282561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 623805 + ... + 626115.

Almost surely, 2^1444282560 is an apocalyptic number.

1444282560 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 1444282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931542016).

1444282560 is an abundant number, since it is smaller than the sum of its proper divisors (4418801472).

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

1444282560 is a wasteful number, since it uses less digits than its factorization.

1444282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2372 (or 2359 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 1444282560 is about 38003.7177128765. The cubic root of 1444282560 is about 1130.3615831926.

The spelling of 1444282560 in words is "one billion, four hundred forty-four million, two hundred eighty-two thousand, five hundred sixty".