538757200 has 60 divisors (see below), whose sum is σ = 1370520540. Its totient is φ = 202823680.

The previous prime is 538757171. The next prime is 538757203. The reversal of 538757200 is 2757835.

It can be written as a sum of positive squares in 6 ways, for example, as 25644096 + 513113104 = 5064^2 + 22652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 538757200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538757203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32815 + ... + 46414.

It is an arithmetic number, because the mean of its divisors is an integer number (22842009).

Almost surely, 2^538757200 is an apocalyptic number.

538757200 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

538757200 is an abundant number, since it is smaller than the sum of its proper divisors (831763340).

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

538757200 is a wasteful number, since it uses less digits than its factorization.

538757200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79264 (or 79253 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 37.

The square root of 538757200 is about 23211.1438753027. The cubic root of 538757200 is about 813.7000869179.

It can be divided in two parts, 53875 and 7200, that added together give a triangular number (61075 = T₃₄₉).

The spelling of 538757200 in words is "five hundred thirty-eight million, seven hundred fifty-seven thousand, two hundred".