538824 has 64 divisors (see below), whose sum is σ = 1592640. Its totient is φ = 149760.

The previous prime is 538823. The next prime is 538829. The reversal of 538824 is 428835.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 538791 and 538800.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 538824.

It is not an unprimeable number, because it can be changed into a prime (538823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3354 + ... + 3510.

It is an arithmetic number, because the mean of its divisors is an integer number (24885).

2⁵³⁸⁸²⁴ 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 538824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796320).

538824 is an abundant number, since it is smaller than the sum of its proper divisors (1053816).

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

538824 is a wasteful number, since it uses less digits than its factorization.

538824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 186 counting only the distinct ones).

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

The square root of 538824 is about 734.0463200643. The cubic root of 538824 is about 81.3733715498.

The spelling of 538824 in words is "five hundred thirty-eight thousand, eight hundred twenty-four".