1444905000 has 640 divisors, whose sum is σ = 6297984000. Its totient is φ = 298080000.

The previous prime is 1444904999. The next prime is 1444905013. The reversal of 1444905000 is 5094441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10394931 + ... + 10395069.

It is an arithmetic number, because the mean of its divisors is an integer number (9840600).

Almost surely, 2^1444905000 is an apocalyptic number.

1444905000 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 1444905000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148992000).

1444905000 is an abundant number, since it is smaller than the sum of its proper divisors (4853079000).

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

1444905000 is a wasteful number, since it uses less digits than its factorization.

1444905000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1444905000 is about 38011.9060295587. The cubic root of 1444905000 is about 1130.5239432076.

Adding to 1444905000 its reverse (5094441), we get a palindrome (1449999441).

The spelling of 1444905000 in words is "one billion, four hundred forty-four million, nine hundred five thousand".