304768 has 16 divisors (see below), whose sum is σ = 607410. Its totient is φ = 152320.

The previous prime is 304763. The next prime is 304771. The reversal of 304768 is 867403.

It can be written as a sum of positive squares in only one way, i.e., 304704 + 64 = 552^2 + 8^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (304763) by changing a digit.

304768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1063 + ... + 1318.

2³⁰⁴⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

304768 is a deficient number, since it is larger than the sum of its proper divisors (302642).

304768 is an equidigital number, since it uses as much as digits as its factorization.

304768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2395 (or 2383 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 304768 is about 552.0579679708. The cubic root of 304768 is about 67.2960832642.

The spelling of 304768 in words is "three hundred four thousand, seven hundred sixty-eight".