305220400 has 120 divisors (see below), whose sum is σ = 773013024. Its totient is φ = 115660800.

The previous prime is 305220367. The next prime is 305220413. The reversal of 305220400 is 4022503.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 23 ways as a sum of consecutive naturals, for example, 606549 + ... + 607051.

Almost surely, 2^305220400 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 305220400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386506512).

305220400 is an abundant number, since it is smaller than the sum of its proper divisors (467792624).

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

305220400 is a wasteful number, since it uses less digits than its factorization.

305220400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599 (or 588 counting only the distinct ones).

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

The square root of 305220400 is about 17470.5580906850. The cubic root of 305220400 is about 673.2936507891.

Adding to 305220400 its reverse (4022503), we get a palindrome (309242903).

The spelling of 305220400 in words is "three hundred five million, two hundred twenty thousand, four hundred".