493563168 has 144 divisors (see below), whose sum is σ = 1638524160. Its totient is φ = 137991168.

The previous prime is 493563163. The next prime is 493563197. The reversal of 493563168 is 861365394.

493563168 is a `hidden beast` number, since 4 + 9 + 3 + 5 + 631 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (493563163) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92148 + ... + 97356.

It is an arithmetic number, because the mean of its divisors is an integer number (11378640).

Almost surely, 2^493563168 is an apocalyptic number.

493563168 is a gapful number since it is divisible by the number (48) 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 493563168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819262080).

493563168 is an abundant number, since it is smaller than the sum of its proper divisors (1144960992).

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

493563168 is a wasteful number, since it uses less digits than its factorization.

493563168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5279 (or 5268 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 493563168 is about 22216.2815970630. The cubic root of 493563168 is about 790.2798602550.

The spelling of 493563168 in words is "four hundred ninety-three million, five hundred sixty-three thousand, one hundred sixty-eight".