538507600 has 60 divisors (see below), whose sum is σ = 1296623484. Its totient is φ = 214927360.

The previous prime is 538507597. The next prime is 538507601. The reversal of 538507600 is 6705835.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2862864 + 535644736 = 1692^2 + 23144^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (538507601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221592 + ... + 224008.

Almost surely, 2^538507600 is an apocalyptic number.

538507600 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 538507600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648311742).

538507600 is an abundant number, since it is smaller than the sum of its proper divisors (758115884).

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

538507600 is a wasteful number, since it uses less digits than its factorization.

538507600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 538507600 is about 23205.7665247240. The cubic root of 538507600 is about 813.5744082174.

The spelling of 538507600 in words is "five hundred thirty-eight million, five hundred seven thousand, six hundred".