252001200 has 240 divisors, whose sum is σ = 933261696. Its totient is φ = 57446400.

The previous prime is 252001193. The next prime is 252001207. The reversal of 252001200 is 2100252.

252001200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252001193) and next prime (252001207).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252001207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 223839 + ... + 224961.

Almost surely, 2^252001200 is an apocalyptic number.

252001200 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 252001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466630848).

252001200 is an abundant number, since it is smaller than the sum of its proper divisors (681260496).

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

252001200 is a wasteful number, since it uses less digits than its factorization.

252001200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 252001200 is about 15874.5456627898. The cubic root of 252001200 is about 631.6369623608.

Adding to 252001200 its reverse (2100252), we get a palindrome (254101452).

The spelling of 252001200 in words is "two hundred fifty-two million, one thousand, two hundred".