1300442200 has 144 divisors (see below), whose sum is σ = 3254814000. Its totient is φ = 483072000.

The previous prime is 1300442197. The next prime is 1300442207. The reversal of 1300442200 is 22440031.

It is a super-2 number, since 2×1300442200² = 3382299831081680000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300442207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8612125 + ... + 8612275.

It is an arithmetic number, because the mean of its divisors is an integer number (22602875).

Almost surely, 2^1300442200 is an apocalyptic number.

1300442200 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 1300442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627407000).

1300442200 is an abundant number, since it is smaller than the sum of its proper divisors (1954371800).

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

1300442200 is a wasteful number, since it uses less digits than its factorization.

1300442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 1300442200 is about 36061.6444439241. The cubic root of 1300442200 is about 1091.5166161950.

Adding to 1300442200 its reverse (22440031), we get a palindrome (1322882231).

The spelling of 1300442200 in words is "one billion, three hundred million, four hundred forty-two thousand, two hundred".