506848 has 24 divisors (see below), whose sum is σ = 1022112. Its totient is φ = 247296.

The previous prime is 506843. The next prime is 506861. The reversal of 506848 is 848605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1336 + ... + 1672.

It is an arithmetic number, because the mean of its divisors is an integer number (42588).

2⁵⁰⁶⁸⁴⁸ 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 506848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511056).

506848 is an abundant number, since it is smaller than the sum of its proper divisors (515264).

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

506848 is a wasteful number, since it uses less digits than its factorization.

506848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The square root of 506848 is about 711.9325810777. The cubic root of 506848 is about 79.7307615665.

The spelling of 506848 in words is "five hundred six thousand, eight hundred forty-eight".