305220300 has 288 divisors, whose sum is σ = 1122261504. Its totient is φ = 62208000.

The previous prime is 305220259. The next prime is 305220301. The reversal of 305220300 is 3022503.

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 305220300.

It is not an unprimeable number, because it can be changed into a prime (305220301) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1686210 + ... + 1686390.

Almost surely, 2^305220300 is an apocalyptic number.

305220300 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 305220300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561130752).

305220300 is an abundant number, since it is smaller than the sum of its proper divisors (817041204).

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

305220300 is a wasteful number, since it uses less digits than its factorization.

305220300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 305220300 is about 17470.5552287270. Note that the first 3 decimals coincide. The cubic root of 305220300 is about 673.2935772582.

Adding to 305220300 its reverse (3022503), we get a palindrome (308242803).

The spelling of 305220300 in words is "three hundred five million, two hundred twenty thousand, three hundred".