252441200 has 60 divisors (see below), whose sum is σ = 661636968. Its totient is φ = 91795200.

The previous prime is 252441187. The next prime is 252441221. The reversal of 252441200 is 2144252.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24287 + ... + 33086.

Almost surely, 2^252441200 is an apocalyptic number.

252441200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252441200 is an abundant number, since it is smaller than the sum of its proper divisors (409195768).

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

252441200 is a wasteful number, since it uses less digits than its factorization.

252441200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57402 (or 57391 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 252441200 is about 15888.3982830240. The cubic root of 252441200 is about 632.0043662573.

Adding to 252441200 its reverse (2144252), we get a palindrome (254585452).

The spelling of 252441200 in words is "two hundred fifty-two million, four hundred forty-one thousand, two hundred".