504306 has 40 divisors (see below), whose sum is σ = 1237104. Its totient is φ = 152280.

The previous prime is 504299. The next prime is 504307. The reversal of 504306 is 603405.

It is a happy number.

504306 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 Curzon number.

It is not an unprimeable number, because it can be changed into a prime (504307) by changing a digit.

504306 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 19 ways as a sum of consecutive naturals, for example, 1641 + ... + 1923.

2⁵⁰⁴³⁰⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618552).

504306 is an abundant number, since it is smaller than the sum of its proper divisors (732798).

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

504306 is a wasteful number, since it uses less digits than its factorization.

504306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 299 counting only the distinct ones).

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

The square root of 504306 is about 710.1450556048. The cubic root of 504306 is about 79.5972466073.

Subtracting 504306 from its reverse (603405), we obtain a palindrome (99099).

It can be divided in two parts, 50 and 4306, that added together give a square (4356 = 66²).

The spelling of 504306 in words is "five hundred four thousand, three hundred six".