1330245200 has 60 divisors (see below), whose sum is σ = 3205307868. Its totient is φ = 530534400.

The previous prime is 1330245173. The next prime is 1330245209. The reversal of 1330245200 is 25420331.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 100480576 + 1229764624 = 10024^2 + 35068^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330245209) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136490 + ... + 145910.

Almost surely, 2^1330245200 is an apocalyptic number.

1330245200 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 1330245200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602653934).

1330245200 is an abundant number, since it is smaller than the sum of its proper divisors (1875062668).

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

1330245200 is a wasteful number, since it uses less digits than its factorization.

1330245200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9792 (or 9781 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 1330245200 is about 36472.5266467789. The cubic root of 1330245200 is about 1099.7920267974.

Adding to 1330245200 its reverse (25420331), we get a palindrome (1355665531).

The spelling of 1330245200 in words is "one billion, three hundred thirty million, two hundred forty-five thousand, two hundred".