304393680 has 160 divisors (see below), whose sum is σ = 1103798400. Its totient is φ = 76889088.

The previous prime is 304393679. The next prime is 304393703. The reversal of 304393680 is 86393403.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37332 + ... + 44748.

It is an arithmetic number, because the mean of its divisors is an integer number (6898740).

Almost surely, 2^304393680 is an apocalyptic number.

304393680 is a gapful number since it is divisible by the number (30) 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 304393680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551899200).

304393680 is an abundant number, since it is smaller than the sum of its proper divisors (799404720).

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

304393680 is a wasteful number, since it uses less digits than its factorization.

304393680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7458 (or 7446 counting only the distinct ones).

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

The square root of 304393680 is about 17446.8816697999. The cubic root of 304393680 is about 672.6852067018.

The spelling of 304393680 in words is "three hundred four million, three hundred ninety-three thousand, six hundred eighty".