463317568 has 112 divisors (see below), whose sum is σ = 1101896704. Its totient is φ = 189112320.

The previous prime is 463317563. The next prime is 463317593. The reversal of 463317568 is 865713364.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (463317563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1013596 + ... + 1014052.

Almost surely, 2^463317568 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 463317568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550948352).

463317568 is an abundant number, since it is smaller than the sum of its proper divisors (638579136).

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

463317568 is a wasteful number, since it uses less digits than its factorization.

463317568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its digits is 362880, while the sum is 43.

The square root of 463317568 is about 21524.8128447148. The cubic root of 463317568 is about 773.7956002227.

It can be divided in two parts, 4633 and 17568, that added together give a square (22201 = 149²).

The spelling of 463317568 in words is "four hundred sixty-three million, three hundred seventeen thousand, five hundred sixty-eight".