306304400 has 60 divisors (see below), whose sum is σ = 748426800. Its totient is φ = 120435840.

The previous prime is 306304391. The next prime is 306304429. The reversal of 306304400 is 4403603.

It is a happy number.

306304400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 11 ways as a sum of consecutive naturals, for example, 17111 + ... + 30089.

It is an arithmetic number, because the mean of its divisors is an integer number (12473780).

Almost surely, 2^306304400 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 306304400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374213400).

306304400 is an abundant number, since it is smaller than the sum of its proper divisors (442122400).

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

306304400 is a wasteful number, since it uses less digits than its factorization.

306304400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13056 (or 13045 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

The square root of 306304400 is about 17501.5542166974. The cubic root of 306304400 is about 674.0897836702.

The spelling of 306304400 in words is "three hundred six million, three hundred four thousand, four hundred".