304912 has 40 divisors (see below), whose sum is σ = 669600. Its totient is φ = 133632.

The previous prime is 304907. The next prime is 304933. The reversal of 304912 is 219403.

It is a Harshad number since it is a multiple of its sum of digits (19).

304912 is a modest number, since divided by 912 gives 304 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 304912.

It is an unprimeable number.

304912 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5139 + ... + 5197.

It is an arithmetic number, because the mean of its divisors is an integer number (16740).

2³⁰⁴⁹¹² 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 304912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334800).

304912 is an abundant number, since it is smaller than the sum of its proper divisors (364688).

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

304912 is a wasteful number, since it uses less digits than its factorization.

304912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 304912 is about 552.1883736552. The cubic root of 304912 is about 67.3066805164.

The spelling of 304912 in words is "three hundred four thousand, nine hundred twelve".