304396416 has 96 divisors (see below), whose sum is σ = 922100400. Its totient is φ = 96118272.

The previous prime is 304396403. The next prime is 304396429. The reversal of 304396416 is 614693403.

304396416 is a `hidden beast` number, since 3 + 0 + 4 + 3 + 9 + 641 + 6 = 666.

304396416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (304396403) and next prime (304396429).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14935 + ... + 28841.

Almost surely, 2^304396416 is an apocalyptic number.

304396416 is a gapful number since it is divisible by the number (36) 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 304396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461050200).

304396416 is an abundant number, since it is smaller than the sum of its proper divisors (617703984).

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

304396416 is a wasteful number, since it uses less digits than its factorization.

304396416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13946 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 304396416 is about 17446.9600790510. The cubic root of 304396416 is about 672.6872221414.

The spelling of 304396416 in words is "three hundred four million, three hundred ninety-six thousand, four hundred sixteen".