6303413800 has 72 divisors (see below), whose sum is σ = 15022406250. Its totient is φ = 2459737600.

The previous prime is 6303413777. The next prime is 6303413803. The reversal of 6303413800 is 83143036.

It can be written as a sum of positive squares in 9 ways, for example, as 356227876 + 5947185924 = 18874^2 + 77118^2 .

It is not an unprimeable number, because it can be changed into a prime (6303413803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 326826 + ... + 345574.

Almost surely, 2^6303413800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6303413800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7511203125).

6303413800 is an abundant number, since it is smaller than the sum of its proper divisors (8718992450).

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

6303413800 is a wasteful number, since it uses less digits than its factorization.

6303413800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18847 (or 18797 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 6303413800 is about 79394.0413381256. The cubic root of 6303413800 is about 1847.2482879654.

Adding to 6303413800 its reverse (83143036), we get a palindrome (6386556836).

The spelling of 6303413800 in words is "six billion, three hundred three million, four hundred thirteen thousand, eight hundred".