305420200 has 96 divisors (see below), whose sum is σ = 736839000. Its totient is φ = 117642240.

The previous prime is 305420177. The next prime is 305420201. The reversal of 305420200 is 2024503.

It can be written as a sum of positive squares in 12 ways, for example, as 2033476 + 303386724 = 1426^2 + 17418^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305420201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1102462 + ... + 1102738.

Almost surely, 2^305420200 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 305420200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368419500).

305420200 is an abundant number, since it is smaller than the sum of its proper divisors (431418800).

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

305420200 is a wasteful number, since it uses less digits than its factorization.

305420200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 305420200 is about 17476.2753468810. The cubic root of 305420200 is about 673.4405334227.

Adding to 305420200 its reverse (2024503), we get a palindrome (307444703).

The spelling of 305420200 in words is "three hundred five million, four hundred twenty thousand, two hundred".