304920 has 144 divisors (see below), whose sum is σ = 1244880. Its totient is φ = 63360.

The previous prime is 304907. The next prime is 304933. The reversal of 304920 is 29403.

It is an interprime number because it is at equal distance from previous prime (304907) and next prime (304933).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 304893 and 304902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27715 + ... + 27725.

It is an arithmetic number, because the mean of its divisors is an integer number (8645).

2³⁰⁴⁹²⁰ is an apocalyptic number.

304920 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 304920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622440).

304920 is an abundant number, since it is smaller than the sum of its proper divisors (939960).

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

304920 is a wasteful number, since it uses less digits than its factorization.

304920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 304920 is about 552.1956175125. The cubic root of 304920 is about 67.3072691548.

Subtracting from 304920 its product of nonzero digits (216), we obtain a square (304704 = 552²).

It can be divided in two parts, 30 and 4920, that added together give a triangular number (4950 = T₉₉).

The spelling of 304920 in words is "three hundred four thousand, nine hundred twenty".