304443664 has 60 divisors (see below), whose sum is σ = 688373724. Its totient is φ = 130056192.

The previous prime is 304443661. The next prime is 304443677. The reversal of 304443664 is 466344403.

304443664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 228614400 + 75829264 = 15120^2 + 8708^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304443661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 452032 + ... + 452704.

Almost surely, 2^304443664 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 304443664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344186862).

304443664 is an abundant number, since it is smaller than the sum of its proper divisors (383930060).

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

304443664 is a wasteful number, since it uses less digits than its factorization.

304443664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1259 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

The square root of 304443664 is about 17448.3140732851. The cubic root of 304443664 is about 672.7220248744.

The spelling of 304443664 in words is "three hundred four million, four hundred forty-three thousand, six hundred sixty-four".