52641200 has 60 divisors (see below), whose sum is σ = 127820688. Its totient is φ = 20832000.

The previous prime is 52641179. The next prime is 52641217. The reversal of 52641200 is 214625.

It is a happy number.

52641200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39749 + ... + 41051.

Almost surely, 2^52641200 is an apocalyptic number.

52641200 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 52641200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63910344).

52641200 is an abundant number, since it is smaller than the sum of its proper divisors (75179488).

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

52641200 is a wasteful number, since it uses less digits than its factorization.

52641200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1422 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 52641200 is about 7255.4255560925. The cubic root of 52641200 is about 374.7790105361.

Adding to 52641200 its reverse (214625), we get a palindrome (52855825).

The spelling of 52641200 in words is "fifty-two million, six hundred forty-one thousand, two hundred".