252576000 has 216 divisors, whose sum is σ = 909878424. Its totient is φ = 67276800.

The previous prime is 252575971. The next prime is 252576011. The reversal of 252576000 is 675252.

252576000 is a `hidden beast` number, since 2 + 5 + 2 + 57 + 600 + 0 = 666.

252576000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 147456 + 252428544 = 384^2 + 15888^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 287562 + ... + 288438.

Almost surely, 2^252576000 is an apocalyptic number.

252576000 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 252576000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454939212).

252576000 is an abundant number, since it is smaller than the sum of its proper divisors (657302424).

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

252576000 is an equidigital number, since it uses as much as digits as its factorization.

252576000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 252576000 is about 15892.6398058976. The cubic root of 252576000 is about 632.1168400121.

It can be divided in two parts, 25 and 2576000, that added together give a square (2576025 = 1605²).

The spelling of 252576000 in words is "two hundred fifty-two million, five hundred seventy-six thousand".