252246000 has 160 divisors (see below), whose sum is σ = 861427008. Its totient is φ = 63283200.

The previous prime is 252245993. The next prime is 252246011. The reversal of 252246000 is 642252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100764 + ... + 103236.

Almost surely, 2^252246000 is an apocalyptic number.

252246000 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 252246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430713504).

252246000 is an abundant number, since it is smaller than the sum of its proper divisors (609181008).

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

252246000 is a wasteful number, since it uses less digits than its factorization.

252246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2516 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 252246000 is about 15882.2542480594. The cubic root of 252246000 is about 631.8414252584.

Adding to 252246000 its reverse (642252), we get a palindrome (252888252).

The spelling of 252246000 in words is "two hundred fifty-two million, two hundred forty-six thousand".