252844800 has 216 divisors, whose sum is σ = 899515344. Its totient is φ = 62177280.

The previous prime is 252844789. The next prime is 252844853. The reversal of 252844800 is 8448252.

It is a happy 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, 249094 + ... + 250106.

Almost surely, 2^252844800 is an apocalyptic number.

252844800 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 252844800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449757672).

252844800 is an abundant number, since it is smaller than the sum of its proper divisors (646670544).

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

252844800 is a wasteful number, since it uses less digits than its factorization.

252844800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 252844800 is about 15901.0943019655. The cubic root of 252844800 is about 632.3410006165.

The spelling of 252844800 in words is "two hundred fifty-two million, eight hundred forty-four thousand, eight hundred".