200074304430 has 768 divisors, whose sum is σ = 725353574400. Its totient is φ = 37695974400.

The previous prime is 200074304429. The next prime is 200074304447. The reversal of 200074304430 is 34403470002.

It is a junction number, because it is equal to n+sod(n) for n = 200074304394 and 200074304403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 269278639 + ... + 269279381.

It is an arithmetic number, because the mean of its divisors is an integer number (944470800).

Almost surely, 2^200074304430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200074304430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362676787200).

200074304430 is an abundant number, since it is smaller than the sum of its proper divisors (525279269970).

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

200074304430 is a wasteful number, since it uses less digits than its factorization.

200074304430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

Adding to 200074304430 its reverse (34403470002), we get a palindrome (234477774432).

The spelling of 200074304430 in words is "two hundred billion, seventy-four million, three hundred four thousand, four hundred thirty".