63471200 has 144 divisors (see below), whose sum is σ = 177176160. Its totient is φ = 21995520.

The previous prime is 63471193. The next prime is 63471209. The reversal of 63471200 is 217436.

63471200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63471209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 176621 + ... + 176979.

It is an arithmetic number, because the mean of its divisors is an integer number (1230390).

Almost surely, 2^63471200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88588080).

63471200 is an abundant number, since it is smaller than the sum of its proper divisors (113704960).

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

63471200 is a wasteful number, since it uses less digits than its factorization.

63471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 63471200 is about 7966.8814475929. The cubic root of 63471200 is about 398.8952851548.

Adding to 63471200 its reverse (217436), we get a palindrome (63688636).

The spelling of 63471200 in words is "sixty-three million, four hundred seventy-one thousand, two hundred".