463110816 has 96 divisors (see below), whose sum is σ = 1395007488. Its totient is φ = 131777280.

The previous prime is 463110803. The next prime is 463110859. The reversal of 463110816 is 618011364.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180841 + ... + 183383.

It is an arithmetic number, because the mean of its divisors is an integer number (14531328).

Almost surely, 2^463110816 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 463110816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697503744).

463110816 is an abundant number, since it is smaller than the sum of its proper divisors (931896672).

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

463110816 is a wasteful number, since it uses less digits than its factorization.

463110816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2826 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 463110816 is about 21520.0096654253. The cubic root of 463110816 is about 773.6804829309.

The spelling of 463110816 in words is "four hundred sixty-three million, one hundred ten thousand, eight hundred sixteen".