506304 has 56 divisors (see below), whose sum is σ = 1493520. Its totient is φ = 168192.

The previous prime is 506291. The next prime is 506327. The reversal of 506304 is 403605.

It is a happy number.

506304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

506304 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 in 7 ways as a sum of consecutive naturals, for example, 1582 + ... + 1874.

It is an arithmetic number, because the mean of its divisors is an integer number (26670).

2⁵⁰⁶³⁰⁴ is an apocalyptic number.

506304 is a gapful number since it is divisible by the number (54) 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 506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746760).

506304 is an abundant number, since it is smaller than the sum of its proper divisors (987216).

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

506304 is a wasteful number, since it uses less digits than its factorization.

506304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 506304 is about 711.5504198579. The cubic root of 506304 is about 79.7022263441.

Adding to 506304 its reverse (403605), we get a palindrome (909909).

The spelling of 506304 in words is "five hundred six thousand, three hundred four".