305223360 has 224 divisors, whose sum is σ = 1073456832. Its totient is φ = 72990720.

The previous prime is 305223349. The next prime is 305223383. The reversal of 305223360 is 63322503.

It is a super-2 number, since 2×305223360² = 186322598979379200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 305223360.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 461430 + ... + 462090.

It is an arithmetic number, because the mean of its divisors is an integer number (4792218).

Almost surely, 2^305223360 is an apocalyptic number.

305223360 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 305223360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536728416).

305223360 is an abundant number, since it is smaller than the sum of its proper divisors (768233472).

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

305223360 is a wasteful number, since it uses less digits than its factorization.

305223360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 24.

The square root of 305223360 is about 17470.6428044305. The cubic root of 305223360 is about 673.2958272958.

Adding to 305223360 its reverse (63322503), we get a palindrome (368545863).

The spelling of 305223360 in words is "three hundred five million, two hundred twenty-three thousand, three hundred sixty".