252007200 has 180 divisors, whose sum is σ = 919257570. Its totient is φ = 67184640.

The previous prime is 252007199. The next prime is 252007207. The reversal of 252007200 is 2700252.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 210482064 + 41525136 = 14508^2 + 6444^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (252007207) 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 29 ways as a sum of consecutive naturals, for example, 62856 + ... + 66744.

Almost surely, 2^252007200 is an apocalyptic number.

252007200 is a gapful number since it is divisible by the number (20) 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 252007200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459628785).

252007200 is an abundant number, since it is smaller than the sum of its proper divisors (667250370).

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

252007200 is a wasteful number, since it uses less digits than its factorization.

252007200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3899 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 252007200 is about 15874.7346434515. The cubic root of 252007200 is about 631.6419752889.

Adding to 252007200 its reverse (2700252), we get a palindrome (254707452).

It can be divided in two parts, 25200 and 7200, that added together give a square (32400 = 180²).

The spelling of 252007200 in words is "two hundred fifty-two million, seven thousand, two hundred".