1444561600 has 84 divisors (see below), whose sum is σ = 3573347184. Its totient is φ = 574766080.

The previous prime is 1444561589. The next prime is 1444561637. The reversal of 1444561600 is 61654441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312909 + ... + 317491.

Almost surely, 2^1444561600 is an apocalyptic number.

1444561600 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 1444561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786673592).

1444561600 is an abundant number, since it is smaller than the sum of its proper divisors (2128785584).

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

1444561600 is a wasteful number, since it uses less digits than its factorization.

1444561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 4787 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 1444561600 is about 38007.3887553460. The cubic root of 1444561600 is about 1130.4343749934.

The spelling of 1444561600 in words is "one billion, four hundred forty-four million, five hundred sixty-one thousand, six hundred".