506340 has 72 divisors (see below), whose sum is σ = 1605240. Its totient is φ = 129024.

The previous prime is 506339. The next prime is 506347. The reversal of 506340 is 43605.

It is a happy number.

506340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 459684 = 216^2 + 678^2 .

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

It is not an unprimeable number, because it can be changed into a prime (506347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5172 + ... + 5268.

It is an arithmetic number, because the mean of its divisors is an integer number (22295).

2⁵⁰⁶³⁴⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802620).

506340 is an abundant number, since it is smaller than the sum of its proper divisors (1098900).

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

506340 is a wasteful number, since it uses less digits than its factorization.

506340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 136 counting only the distinct ones).

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

The square root of 506340 is about 711.5757162804. The cubic root of 506340 is about 79.7041153358.

Adding to 506340 its reverse (43605), we get a palindrome (549945).

The spelling of 506340 in words is "five hundred six thousand, three hundred forty".