1200448000 has 80 divisors (see below), whose sum is σ = 2993551704. Its totient is φ = 480153600.

The previous prime is 1200447977. The next prime is 1200448003. The reversal of 1200448000 is 8440021.

It can be written as a sum of positive squares in 4 ways, for example, as 408363264 + 792084736 = 20208^2 + 28144^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1200448003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 54622 + ... + 73378.

Almost surely, 2^1200448000 is an apocalyptic number.

1200448000 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 1200448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496775852).

1200448000 is an abundant number, since it is smaller than the sum of its proper divisors (1793103704).

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

1200448000 is an frugal number, since it uses more digits than its factorization.

1200448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18790 (or 18764 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1200448000 is about 34647.4818709816. The cubic root of 1200448000 is about 1062.7907946845.

Adding to 1200448000 its reverse (8440021), we get a palindrome (1208888021).

The spelling of 1200448000 in words is "one billion, two hundred million, four hundred forty-eight thousand".