252928000 has 224 divisors, whose sum is σ = 715609440. Its totient is φ = 88473600.

The previous prime is 252927979. The next prime is 252928001. The reversal of 252928000 is 829252.

It is a self number, because there is not a number n which added to its sum of digits gives 252928000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252928001) 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, 13311991 + ... + 13312009.

It is an arithmetic number, because the mean of its divisors is an integer number (3194685).

Almost surely, 2^252928000 is an apocalyptic number.

252928000 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 252928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357804720).

252928000 is an abundant number, since it is smaller than the sum of its proper divisors (462681440).

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

252928000 is an equidigital number, since it uses as much as digits as its factorization.

252928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 252928000 is about 15903.7102589301. The cubic root of 252928000 is about 632.4103514616.

The spelling of 252928000 in words is "two hundred fifty-two million, nine hundred twenty-eight thousand".