305133300 has 108 divisors (see below), whose sum is σ = 961836876. Its totient is φ = 80908800.

The previous prime is 305133299. The next prime is 305133319. The reversal of 305133300 is 3331503.

It can be written as a sum of positive squares in 6 ways, for example, as 27311076 + 277822224 = 5226^2 + 16668^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 176440 + ... + 178160.

It is an arithmetic number, because the mean of its divisors is an integer number (8905897).

Almost surely, 2^305133300 is an apocalyptic number.

305133300 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 305133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480918438).

305133300 is an abundant number, since it is smaller than the sum of its proper divisors (656703576).

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

305133300 is a wasteful number, since it uses less digits than its factorization.

305133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 405, while the sum is 18.

The square root of 305133300 is about 17468.0651475772. The cubic root of 305133300 is about 673.2295993078.

Adding to 305133300 its reverse (3331503), we get a palindrome (308464803).

The spelling of 305133300 in words is "three hundred five million, one hundred thirty-three thousand, three hundred".