304980 has 96 divisors (see below), whose sum is σ = 1016064. Its totient is φ = 67584.

The previous prime is 304979. The next prime is 304981. The reversal of 304980 is 89403.

It is an interprime number because it is at equal distance from previous prime (304979) and next prime (304981).

It is a self number, because there is not a number n which added to its sum of digits gives 304980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (304981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13249 + ... + 13271.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2³⁰⁴⁹⁸⁰ is an apocalyptic number.

304980 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 304980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508032).

304980 is an abundant number, since it is smaller than the sum of its proper divisors (711084).

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

304980 is a wasteful number, since it uses less digits than its factorization.

304980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 304980 is about 552.2499434133. The cubic root of 304980 is about 67.3116836147.

The spelling of 304980 in words is "three hundred four thousand, nine hundred eighty".