305300200 has 48 divisors (see below), whose sum is σ = 712236780. Its totient is φ = 121704960.

The previous prime is 305300179. The next prime is 305300201. The reversal of 305300200 is 2003503.

It can be written as a sum of positive squares in 6 ways, for example, as 9253764 + 296046436 = 3042^2 + 17206^2 .

It is not an unprimeable number, because it can be changed into a prime (305300201) 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, 60162 + ... + 65038.

Almost surely, 2^305300200 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 305300200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (356118390).

305300200 is an abundant number, since it is smaller than the sum of its proper divisors (406936580).

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

305300200 is a wasteful number, since it uses less digits than its factorization.

305300200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5206 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 13.

The square root of 305300200 is about 17472.8417837511. The cubic root of 305300200 is about 673.3523233107.

Adding to 305300200 its reverse (2003503), we get a palindrome (307303703).

The spelling of 305300200 in words is "three hundred five million, three hundred thousand, two hundred".