305222400 has 324 divisors, whose sum is σ = 1248777712. Its totient is φ = 69672960.

The previous prime is 305222381. The next prime is 305222447. The reversal of 305222400 is 4222503.

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

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, 402822 + ... + 403578.

Almost surely, 2^305222400 is an apocalyptic number.

305222400 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 305222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624388856).

305222400 is an abundant number, since it is smaller than the sum of its proper divisors (943555312).

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

305222400 is a wasteful number, since it uses less digits than its factorization.

305222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 305222400 is about 17470.6153297473. The cubic root of 305222400 is about 673.2951214033.

Adding to 305222400 its reverse (4222503), we get a palindrome (309444903).

It can be divided in two parts, 3052 and 22400, that added together give a palindrome (25452).

The spelling of 305222400 in words is "three hundred five million, two hundred twenty-two thousand, four hundred".