523848 has 64 divisors (see below), whose sum is σ = 1491840. Its totient is φ = 152064.

The previous prime is 523847. The next prime is 523867. The reversal of 523848 is 848325.

It is a nialpdrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 523848.

It is not an unprimeable number, because it can be changed into a prime (523847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7140 + ... + 7212.

It is an arithmetic number, because the mean of its divisors is an integer number (23310).

523848 is a Friedman number, since it can be written as 8*(4^8-52-3), using all its digits and the basic arithmetic operations.

2⁵²³⁸⁴⁸ 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 523848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745920).

523848 is an abundant number, since it is smaller than the sum of its proper divisors (967992).

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

523848 is a wasteful number, since it uses less digits than its factorization.

523848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 114 counting only the distinct ones).

The product of its digits is 7680, while the sum is 30.

The square root of 523848 is about 723.7734452161. The cubic root of 523848 is about 80.6123836998.

The spelling of 523848 in words is "five hundred twenty-three thousand, eight hundred forty-eight".