1244448000 has 432 divisors, whose sum is σ = 4663386000. Its totient is φ = 318259200.

The previous prime is 1244447933. The next prime is 1244448019. The reversal of 1244448000 is 8444421.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 654541056 + 589906944 = 25584^2 + 24288^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8351926 + ... + 8352074.

It is an arithmetic number, because the mean of its divisors is an integer number (10794875).

Almost surely, 2^1244448000 is an apocalyptic number.

1244448000 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 1244448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331693000).

1244448000 is an abundant number, since it is smaller than the sum of its proper divisors (3418938000).

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

1244448000 is a wasteful number, since it uses less digits than its factorization.

1244448000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 1244448000 is about 35276.7345427549. The cubic root of 1244448000 is about 1075.6201217479.

The spelling of 1244448000 in words is "one billion, two hundred forty-four million, four hundred forty-eight thousand".