300022400 has 192 divisors, whose sum is σ = 793978200. Its totient is φ = 111820800.

The previous prime is 300022399. The next prime is 300022423. The reversal of 300022400 is 4220003.

It can be written as a sum of positive squares in 12 ways, for example, as 1700416 + 298321984 = 1304^2 + 17272^2 .

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 23 ways as a sum of consecutive naturals, for example, 4918370 + ... + 4918430.

Almost surely, 2^300022400 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 300022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396989100).

300022400 is an abundant number, since it is smaller than the sum of its proper divisors (493955800).

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

300022400 is a wasteful number, since it uses less digits than its factorization.

300022400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 11.

The square root of 300022400 is about 17321.1546959202. The cubic root of 300022400 is about 669.4496111098.

Adding to 300022400 its reverse (4220003), we get a palindrome (304242403).

The spelling of 300022400 in words is "three hundred million, twenty-two thousand, four hundred".