463712200 has 96 divisors (see below), whose sum is σ = 1285810560. Its totient is φ = 152064000.

The previous prime is 463712149. The next prime is 463712203. The reversal of 463712200 is 2217364.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (463712203) 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, 25000 + ... + 39400.

It is an arithmetic number, because the mean of its divisors is an integer number (13393860).

Almost surely, 2^463712200 is an apocalyptic number.

463712200 is a gapful number since it is divisible by the number (40) 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 463712200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642905280).

463712200 is an abundant number, since it is smaller than the sum of its proper divisors (822098360).

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

463712200 is a wasteful number, since it uses less digits than its factorization.

463712200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447 (or 14438 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 463712200 is about 21533.9778025334. The cubic root of 463712200 is about 774.0152320469.

Adding to 463712200 its reverse (2217364), we get a palindrome (465929564).

The spelling of 463712200 in words is "four hundred sixty-three million, seven hundred twelve thousand, two hundred".