493568 has 24 divisors (see below), whose sum is σ = 990990. Its totient is φ = 245760.

The previous prime is 493567. The next prime is 493573. The reversal of 493568 is 865394.

It can be written as a sum of positive squares in only one way, i.e., 369664 + 123904 = 608^2 + 352^2 .

It is not an unprimeable number, because it can be changed into a prime (493567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1928 + ... + 2168.

2⁴⁹³⁵⁶⁸ 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 493568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495495).

493568 is an abundant number, since it is smaller than the sum of its proper divisors (497422).

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

493568 is an equidigital number, since it uses as much as digits as its factorization.

493568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 243 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 493568 is about 702.5439488032. The cubic root of 493568 is about 79.0282439202.

The spelling of 493568 in words is "four hundred ninety-three thousand, five hundred sixty-eight".