305300 has 36 divisors (see below), whose sum is σ = 687456. Its totient is φ = 117600.

The previous prime is 305297. The next prime is 305329. The reversal of 305300 is 3503.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 305300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4265 + ... + 4335.

It is an arithmetic number, because the mean of its divisors is an integer number (19096).

2³⁰⁵³⁰⁰ 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 305300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343728).

305300 is an abundant number, since it is smaller than the sum of its proper divisors (382156).

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

305300 is a wasteful number, since it uses less digits than its factorization.

305300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 45, while the sum is 11.

The square root of 305300 is about 552.5395913417. The cubic root of 305300 is about 67.3352176275.

Adding to 305300 its reverse (3503), we get a palindrome (308803).

The spelling of 305300 in words is "three hundred five thousand, three hundred".