663112400 has 120 divisors (see below), whose sum is σ = 1638927840. Its totient is φ = 257748480.

The previous prime is 663112391. The next prime is 663112403. The reversal of 663112400 is 4211366.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (663112403) 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, 2921087 + ... + 2921313.

It is an arithmetic number, because the mean of its divisors is an integer number (13657732).

Almost surely, 2^663112400 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 663112400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819463920).

663112400 is an abundant number, since it is smaller than the sum of its proper divisors (975815440).

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

663112400 is a wasteful number, since it uses less digits than its factorization.

663112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 663112400 is about 25750.9689138098. The cubic root of 663112400 is about 872.0252286279.

Adding to 663112400 its reverse (4211366), we get a palindrome (667323766).

The spelling of 663112400 in words is "six hundred sixty-three million, one hundred twelve thousand, four hundred".