493568768 has 180 divisors, whose sum is σ = 1271004168. Its totient is φ = 189665280.

The previous prime is 493568767. The next prime is 493568773. The reversal of 493568768 is 867865394.

It is a super-2 number, since 2×493568768² = 487220257490075648, which contains 22 as substring.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

Its product of digits (8709120) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (493568767) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6761180 + ... + 6761252.

Almost surely, 2^493568768 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 493568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635502084).

493568768 is an abundant number, since it is smaller than the sum of its proper divisors (777435400).

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

493568768 is an frugal number, since it uses more digits than its factorization.

493568768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 93 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 56.

The square root of 493568768 is about 22216.4076303979. The cubic root of 493568768 is about 790.2828490994.

The spelling of 493568768 in words is "four hundred ninety-three million, five hundred sixty-eight thousand, seven hundred sixty-eight".