1300345600 has 108 divisors (see below), whose sum is σ = 3237900400. Its totient is φ = 517017600.

The previous prime is 1300345591. The next prime is 1300345603. The reversal of 1300345600 is 65430031.

It is not an unprimeable number, because it can be changed into a prime (1300345603) 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 11 ways as a sum of consecutive naturals, for example, 1273090 + ... + 1274110.

Almost surely, 2^1300345600 is an apocalyptic number.

1300345600 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 1300345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618950200).

1300345600 is an abundant number, since it is smaller than the sum of its proper divisors (1937554800).

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

1300345600 is a wasteful number, since it uses less digits than its factorization.

1300345600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1246 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 1300345600 is about 36060.3050458534. The cubic root of 1300345600 is about 1091.4895886921.

Adding to 1300345600 its reverse (65430031), we get a palindrome (1365775631).

The spelling of 1300345600 in words is "one billion, three hundred million, three hundred forty-five thousand, six hundred".