52851200 has 60 divisors (see below), whose sum is σ = 130974690. Its totient is φ = 21135360.

The previous prime is 52851167. The next prime is 52851209. The reversal of 52851200 is 215825.

It can be written as a sum of positive squares in 3 ways, for example, as 40347904 + 12503296 = 6352^2 + 3536^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52851209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10736 + ... + 14864.

Almost surely, 2^52851200 is an apocalyptic number.

52851200 is a gapful number since it is divisible by the number (50) 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 52851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65487345).

52851200 is an abundant number, since it is smaller than the sum of its proper divisors (78123490).

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

52851200 is an equidigital number, since it uses as much as digits as its factorization.

52851200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4157 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 52851200 is about 7269.8830802153. The cubic root of 52851200 is about 375.2767142795.

The spelling of 52851200 in words is "fifty-two million, eight hundred fifty-one thousand, two hundred".