1444090800 has 90 divisors (see below), whose sum is σ = 4630124908. Its totient is φ = 384739840.

The previous prime is 1444090799. The next prime is 1444090847. The reversal of 1444090800 is 80904441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 1315852 + ... + 1316948.

Almost surely, 2^1444090800 is an apocalyptic number.

1444090800 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 1444090800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2315062454).

1444090800 is an abundant number, since it is smaller than the sum of its proper divisors (3186034108).

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

1444090800 is an equidigital number, since it uses as much as digits as its factorization.

1444090800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1444090800 is about 38001.1947180612. The cubic root of 1444090800 is about 1130.3115542631.

The spelling of 1444090800 in words is "one billion, four hundred forty-four million, ninety thousand, eight hundred".