1444343200 has 72 divisors (see below), whose sum is σ = 3534734700. Its totient is φ = 576307200.

The previous prime is 1444343191. The next prime is 1444343221. The reversal of 1444343200 is 23434441.

It can be written as a sum of positive squares in 6 ways, for example, as 250778896 + 1193564304 = 15836^2 + 34548^2 .

It is a super-2 number, since 2×1444343200² = 4172254558772480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 357190 + ... + 361210.

Almost surely, 2^1444343200 is an apocalyptic number.

1444343200 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 1444343200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767367350).

1444343200 is an abundant number, since it is smaller than the sum of its proper divisors (2090391500).

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

1444343200 is a wasteful number, since it uses less digits than its factorization.

1444343200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The square root of 1444343200 is about 38004.5155211851. The cubic root of 1444343200 is about 1130.3774028503.

Adding to 1444343200 its reverse (23434441), we get a palindrome (1467777641).

The spelling of 1444343200 in words is "one billion, four hundred forty-four million, three hundred forty-three thousand, two hundred".