863314200 has 480 divisors, whose sum is σ = 3586556160. Its totient is φ = 188179200.

The previous prime is 863314187. The next prime is 863314211. The reversal of 863314200 is 2413368.

It is a happy number.

863314200 is a `hidden beast` number, since 8 + 633 + 1 + 4 + 20 + 0 = 666.

It is a super-2 number, since 2×863314200² = 1490622815843280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 2608035 + ... + 2608365.

It is an arithmetic number, because the mean of its divisors is an integer number (7471992).

Almost surely, 2^863314200 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 863314200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1793278080).

863314200 is an abundant number, since it is smaller than the sum of its proper divisors (2723241960).

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

863314200 is a wasteful number, since it uses less digits than its factorization.

863314200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 863314200 is about 29382.2089026676. The cubic root of 863314200 is about 952.1885645595.

Adding to 863314200 its reverse (2413368), we get a palindrome (865727568).

The spelling of 863314200 in words is "eight hundred sixty-three million, three hundred fourteen thousand, two hundred".