538752 has 64 divisors (see below), whose sum is σ = 1517760. Its totient is φ = 168960.

The previous prime is 538751. The next prime is 538763. The reversal of 538752 is 257835.

It is a happy number.

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

It is a d-powerful number, because it can be written as 5³ + 3¹² + 7⁴ + 8² + 5⁴ + 2¹² .

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (538751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8802 + ... + 8862.

It is an arithmetic number, because the mean of its divisors is an integer number (23715).

2⁵³⁸⁷⁵² 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 538752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758880).

538752 is an abundant number, since it is smaller than the sum of its proper divisors (979008).

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

538752 is a wasteful number, since it uses less digits than its factorization.

538752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 89 counting only the distinct ones).

The product of its digits is 8400, while the sum is 30.

The square root of 538752 is about 733.9972751993. The cubic root of 538752 is about 81.3697469008.

The spelling of 538752 in words is "five hundred thirty-eight thousand, seven hundred fifty-two".