304825248 has 192 divisors, whose sum is σ = 1094526720. Its totient is φ = 80372736.

The previous prime is 304825247. The next prime is 304825291. The reversal of 304825248 is 842528403.

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 (304825247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 76686 + ... + 80562.

It is an arithmetic number, because the mean of its divisors is an integer number (5700660).

Almost surely, 2^304825248 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 304825248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547263360).

304825248 is an abundant number, since it is smaller than the sum of its proper divisors (789701472).

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

304825248 is a wasteful number, since it uses less digits than its factorization.

304825248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 304825248 is about 17459.2453445159. The cubic root of 304825248 is about 673.0029666035.

The spelling of 304825248 in words is "three hundred four million, eight hundred twenty-five thousand, two hundred forty-eight".