252430200 has 432 divisors, whose sum is σ = 996941400. Its totient is φ = 57024000.

The previous prime is 252430193. The next prime is 252430223. The reversal of 252430200 is 2034252.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4138170 + ... + 4138230.

Almost surely, 2^252430200 is an apocalyptic number.

252430200 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 252430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498470700).

252430200 is an abundant number, since it is smaller than the sum of its proper divisors (744511200).

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

252430200 is a wasteful number, since it uses less digits than its factorization.

252430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 252430200 is about 15888.0521147182. The cubic root of 252430200 is about 631.9951863651.

Adding to 252430200 its reverse (2034252), we get a palindrome (254464452).

The spelling of 252430200 in words is "two hundred fifty-two million, four hundred thirty thousand, two hundred".