863473600 has 168 divisors, whose sum is σ = 2353885056. Its totient is φ = 309120000.

The previous prime is 863473553. The next prime is 863473609. The reversal of 863473600 is 6374368.

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 863473600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863473609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1249255 + ... + 1249945.

Almost surely, 2^863473600 is an apocalyptic number.

863473600 is a gapful number since it is divisible by the number (80) 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 863473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176942528).

863473600 is an abundant number, since it is smaller than the sum of its proper divisors (1490411456).

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

863473600 is a wasteful number, since it uses less digits than its factorization.

863473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 37.

The square root of 863473600 is about 29384.9213032807. The cubic root of 863473600 is about 952.2471641273.

The spelling of 863473600 in words is "eight hundred sixty-three million, four hundred seventy-three thousand, six hundred".