305113200 has 180 divisors, whose sum is σ = 1137170520. Its totient is φ = 69726720.

The previous prime is 305113183. The next prime is 305113213. The reversal of 305113200 is 2311503.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 305113200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56206 + ... + 61394.

It is an arithmetic number, because the mean of its divisors is an integer number (6317614).

Almost surely, 2^305113200 is an apocalyptic number.

305113200 is a gapful number since it is divisible by the number (30) 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 305113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (568585260).

305113200 is an abundant number, since it is smaller than the sum of its proper divisors (832057320).

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

305113200 is a wasteful number, since it uses less digits than its factorization.

305113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224 (or 5206 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 305113200 is about 17467.4898024874. The cubic root of 305113200 is about 673.2148164658.

Adding to 305113200 its reverse (2311503), we get a palindrome (307424703).

The spelling of 305113200 in words is "three hundred five million, one hundred thirteen thousand, two hundred".