252368000 has 64 divisors (see below), whose sum is σ = 627489720. Its totient is φ = 100940800.

The previous prime is 252367981. The next prime is 252368003. The reversal of 252368000 is 863252.

It can be written as a sum of positive squares in 4 ways, for example, as 84198976 + 168169024 = 9176^2 + 12968^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (252368003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8114 + ... + 23886.

Almost surely, 2^252368000 is an apocalyptic number.

252368000 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 252368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313744860).

252368000 is an abundant number, since it is smaller than the sum of its proper divisors (375121720).

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

252368000 is an equidigital number, since it uses as much as digits as its factorization.

252368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15802 (or 15780 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 252368000 is about 15886.0945483778. The cubic root of 252368000 is about 631.9432732293.

The spelling of 252368000 in words is "two hundred fifty-two million, three hundred sixty-eight thousand".