252048000 has 256 divisors, whose sum is σ = 859248000. Its totient is φ = 65331200.

The previous prime is 252047989. The next prime is 252048031. The reversal of 252048000 is 840252.

252048000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 2831956 + ... + 2832044.

Almost surely, 2^252048000 is an apocalyptic number.

252048000 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 252048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429624000).

252048000 is an abundant number, since it is smaller than the sum of its proper divisors (607200000).

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

252048000 is an equidigital number, since it uses as much as digits as its factorization.

252048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 252048000 is about 15876.0196522932. The cubic root of 252048000 is about 631.6760610901.

Adding to 252048000 its reverse (840252), we get a palindrome (252888252).

The spelling of 252048000 in words is "two hundred fifty-two million, forty-eight thousand".