506300 has 36 divisors (see below), whose sum is σ = 1130136. Its totient is φ = 196800.

The previous prime is 506291. The next prime is 506327. The reversal of 506300 is 3605.

It is a happy number.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

506300 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 (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6059 + ... + 6141.

2⁵⁰⁶³⁰⁰ is an apocalyptic number.

506300 is a gapful number since it is divisible by the number (50) 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 506300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565068).

506300 is an abundant number, since it is smaller than the sum of its proper divisors (623836).

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

506300 is a wasteful number, since it uses less digits than its factorization.

506300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 506300 is about 711.5476090888. The cubic root of 506300 is about 79.7020164506.

Adding to 506300 its reverse (3605), we get a palindrome (509905).

The spelling of 506300 in words is "five hundred six thousand, three hundred".