506256 has 40 divisors (see below), whose sum is σ = 1339200. Its totient is φ = 164736.

The previous prime is 506251. The next prime is 506263. The reversal of 506256 is 652605.

506256 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 (24).

It is an Ulam number.

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 506256.

It is not an unprimeable number, because it can be changed into a prime (506251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2445 + ... + 2643.

It is an arithmetic number, because the mean of its divisors is an integer number (33480).

2⁵⁰⁶²⁵⁶ 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 506256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669600).

506256 is an abundant number, since it is smaller than the sum of its proper divisors (832944).

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

506256 is a wasteful number, since it uses less digits than its factorization.

506256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 506256 is about 711.5166898956. The cubic root of 506256 is about 79.6997075493.

The spelling of 506256 in words is "five hundred six thousand, two hundred fifty-six".