463064112 has 360 divisors, whose sum is σ = 1631859840. Its totient is φ = 121927680.

The previous prime is 463064111. The next prime is 463064117. The reversal of 463064112 is 211460364.

463064112 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 641 + 12 = 666.

It is not an unprimeable number, because it can be changed into a prime (463064111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6343308 + ... + 6343380.

It is an arithmetic number, because the mean of its divisors is an integer number (4532944).

Almost surely, 2^463064112 is an apocalyptic number.

463064112 is a gapful number since it is divisible by the number (42) 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 463064112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (815929920).

463064112 is an abundant number, since it is smaller than the sum of its proper divisors (1168795728).

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

463064112 is a wasteful number, since it uses less digits than its factorization.

463064112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 145 counting only the distinct ones).

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

The square root of 463064112 is about 21518.9245084414. The cubic root of 463064112 is about 773.6544739018.

The spelling of 463064112 in words is "four hundred sixty-three million, sixty-four thousand, one hundred twelve".