538800 has 60 divisors (see below), whose sum is σ = 1729800. Its totient is φ = 143360.

The previous prime is 538799. The next prime is 538801. The reversal of 538800 is 8835.

It is an interprime number because it is at equal distance from previous prime (538799) and next prime (538801).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (538801) 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 11 ways as a sum of consecutive naturals, for example, 976 + ... + 1424.

It is an arithmetic number, because the mean of its divisors is an integer number (28830).

2⁵³⁸⁸⁰⁰ is an apocalyptic number.

538800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 538800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864900).

538800 is an abundant number, since it is smaller than the sum of its proper divisors (1191000).

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

538800 is a wasteful number, since it uses less digits than its factorization.

538800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 538800 is about 734.0299721401. The cubic root of 538800 is about 81.3721633694.

The spelling of 538800 in words is "five hundred thirty-eight thousand, eight hundred".