638963200 has 60 divisors (see below), whose sum is σ = 1583112960. Its totient is φ = 255580160.

The previous prime is 638963197. The next prime is 638963201. The reversal of 638963200 is 2369836.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 638963200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (638963201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12160 + ... + 37759.

It is an arithmetic number, because the mean of its divisors is an integer number (26385216).

Almost surely, 2^638963200 is an apocalyptic number.

It is an amenable number.

638963200 is an abundant number, since it is smaller than the sum of its proper divisors (944149760).

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

638963200 is an equidigital number, since it uses as much as digits as its factorization.

638963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49947 (or 49926 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 638963200 is about 25277.7214162986. The cubic root of 638963200 is about 861.3082666000.

The spelling of 638963200 in words is "six hundred thirty-eight million, nine hundred sixty-three thousand, two hundred".