304464384 has 120 divisors (see below), whose sum is σ = 1004340480. Its totient is φ = 86980608.

The previous prime is 304464331. The next prime is 304464389. The reversal of 304464384 is 483464403.

304464384 is a `hidden beast` number, since 3 + 0 + 4 + 4 + 643 + 8 + 4 = 666.

304464384 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×304464384² = 185397122248998912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304464389) 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, 27537 + ... + 36975.

It is an arithmetic number, because the mean of its divisors is an integer number (8369504).

Almost surely, 2^304464384 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 304464384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502170240).

304464384 is an abundant number, since it is smaller than the sum of its proper divisors (699876096).

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

304464384 is an equidigital number, since it uses as much as digits as its factorization.

304464384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9470 (or 9451 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 304464384 is about 17448.9078168234. The cubic root of 304464384 is about 672.7372860275.

The spelling of 304464384 in words is "three hundred four million, four hundred sixty-four thousand, three hundred eighty-four".