1303200444 has 192 divisors, whose sum is σ = 3905298432. Its totient is φ = 329011200.

The previous prime is 1303200407. The next prime is 1303200473. The reversal of 1303200444 is 4440023031.

1303200444 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 1303200444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4637584 + ... + 4637864.

It is an arithmetic number, because the mean of its divisors is an integer number (20340096).

Almost surely, 2^1303200444 is an apocalyptic number.

1303200444 is a gapful number since it is divisible by the number (14) 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 1303200444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1952649216).

1303200444 is an abundant number, since it is smaller than the sum of its proper divisors (2602097988).

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

1303200444 is a wasteful number, since it uses less digits than its factorization.

1303200444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 1303200444 is about 36099.8676451867. The cubic root of 1303200444 is about 1092.2877751937.

Adding to 1303200444 its reverse (4440023031), we get a palindrome (5743223475).

The spelling of 1303200444 in words is "one billion, three hundred three million, two hundred thousand, four hundred forty-four".