1320416300 has 72 divisors (see below), whose sum is σ = 3303809376. Its totient is φ = 448680960.

The previous prime is 1320416287. The next prime is 1320416303. The reversal of 1320416300 is 36140231.

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

It is not an unprimeable number, because it can be changed into a prime (1320416303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70754 + ... + 87446.

Almost surely, 2^1320416300 is an apocalyptic number.

1320416300 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 1320416300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651904688).

1320416300 is an abundant number, since it is smaller than the sum of its proper divisors (1983393076).

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

1320416300 is a wasteful number, since it uses less digits than its factorization.

1320416300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16827 (or 16820 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 1320416300 is about 36337.5329377216. The cubic root of 1320416300 is about 1097.0766178084.

Adding to 1320416300 its reverse (36140231), we get a palindrome (1356556531).

The spelling of 1320416300 in words is "one billion, three hundred twenty million, four hundred sixteen thousand, three hundred".