512200 has 48 divisors (see below), whose sum is σ = 1288980. Its totient is φ = 188160.

The previous prime is 512167. The next prime is 512207. The reversal of 512200 is 2215.

512200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 248004 + 264196 = 498^2 + 514^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (512207) by changing a digit.

512200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2502 + ... + 2698.

2⁵¹²²⁰⁰ is an apocalyptic number.

512200 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 512200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644490).

512200 is an abundant number, since it is smaller than the sum of its proper divisors (776780).

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

512200 is a wasteful number, since it uses less digits than its factorization.

512200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 512200 is about 715.6814934033. The cubic root of 512200 is about 80.0104153106.

Adding to 512200 its reverse (2215), we get a palindrome (514415).

It can be divided in two parts, 512 and 200, that multiplied together give a square (102400 = 320²).

The spelling of 512200 in words is "five hundred twelve thousand, two hundred".