304848768 has 256 divisors, whose sum is σ = 1002700800. Its totient is φ = 80123904.

The previous prime is 304848767. The next prime is 304848769. The reversal of 304848768 is 867848403.

It is an interprime number because it is at equal distance from previous prime (304848767) and next prime (304848769).

It is a super-2 number, since 2×304848768² = 185865542702235648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304848767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2400321 + ... + 2400447.

It is an arithmetic number, because the mean of its divisors is an integer number (3916800).

Almost surely, 2^304848768 is an apocalyptic number.

304848768 is a gapful number since it is divisible by the number (38) 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 304848768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501350400).

304848768 is an abundant number, since it is smaller than the sum of its proper divisors (697852032).

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

304848768 is a wasteful number, since it uses less digits than its factorization.

304848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 48.

The square root of 304848768 is about 17459.9189001553. The cubic root of 304848768 is about 673.0202755619.

It can be divided in two parts, 3048 and 48768, that multiplied together give a square (148644864 = 12192²).

The spelling of 304848768 in words is "three hundred four million, eight hundred forty-eight thousand, seven hundred sixty-eight".