252424000 has 112 divisors (see below), whose sum is σ = 632399040. Its totient is φ = 99801600.

The previous prime is 252423989. The next prime is 252424009. The reversal of 252424000 is 424252.

252424000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252424009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1111887 + ... + 1112113.

It is an arithmetic number, because the mean of its divisors is an integer number (5646420).

Almost surely, 2^252424000 is an apocalyptic number.

252424000 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 252424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316199520).

252424000 is an abundant number, since it is smaller than the sum of its proper divisors (379975040).

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

252424000 is a wasteful number, since it uses less digits than its factorization.

252424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 252424000 is about 15887.8569983494. The cubic root of 252424000 is about 631.9900121265.

Adding to 252424000 its reverse (424252), we get a palindrome (252848252).

The spelling of 252424000 in words is "two hundred fifty-two million, four hundred twenty-four thousand".