252864000 has 240 divisors, whose sum is σ = 912843360. Its totient is φ = 67276800.

The previous prime is 252863999. The next prime is 252864011. The reversal of 252864000 is 468252.

252864000 is a `hidden beast` number, since 252 + 8 + 6 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 575781 + ... + 576219.

It is an arithmetic number, because the mean of its divisors is an integer number (3803514).

Almost surely, 2^252864000 is an apocalyptic number.

252864000 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 252864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456421680).

252864000 is an abundant number, since it is smaller than the sum of its proper divisors (659979360).

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

252864000 is an equidigital number, since it uses as much as digits as its factorization.

252864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 252864000 is about 15901.6980225383. The cubic root of 252864000 is about 632.3570060079.

The spelling of 252864000 in words is "two hundred fifty-two million, eight hundred sixty-four thousand".