463302112 has 96 divisors (see below), whose sum is σ = 1128254400. Its totient is φ = 182366208.

The previous prime is 463302109. The next prime is 463302113. The reversal of 463302112 is 211203364.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463302113) 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 15 ways as a sum of consecutive naturals, for example, 1132564 + ... + 1132972.

It is an arithmetic number, because the mean of its divisors is an integer number (11752650).

Almost surely, 2^463302112 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 463302112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564127200).

463302112 is an abundant number, since it is smaller than the sum of its proper divisors (664952288).

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

463302112 is a wasteful number, since it uses less digits than its factorization.

463302112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 463302112 is about 21524.4538142086. The cubic root of 463302112 is about 773.7869956725.

Adding to 463302112 its reverse (211203364), we get a palindrome (674505476).

The spelling of 463302112 in words is "four hundred sixty-three million, three hundred two thousand, one hundred twelve".