506240 has 64 divisors (see below), whose sum is σ = 1395360. Its totient is φ = 172032.

The previous prime is 506213. The next prime is 506251. The reversal of 506240 is 42605.

506240 is nontrivially palindromic in base 3.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

506240 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, 4424 + ... + 4536.

2⁵⁰⁶²⁴⁰ 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 506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697680).

506240 is an abundant number, since it is smaller than the sum of its proper divisors (889120).

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

506240 is a wasteful number, since it uses less digits than its factorization.

506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 506240 is about 711.5054462195. The cubic root of 506240 is about 79.6988679156.

Adding to 506240 its reverse (42605), we get a palindrome (548845).

The spelling of 506240 in words is "five hundred six thousand, two hundred forty".