493768 has 32 divisors (see below), whose sum is σ = 1048320. Its totient is φ = 216000.

The previous prime is 493747. The next prime is 493777. The reversal of 493768 is 867394.

493768 = 7³ + 8³ + ... + 37³.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2638 + ... + 2818.

It is an arithmetic number, because the mean of its divisors is an integer number (32760).

2⁴⁹³⁷⁶⁸ 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 493768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524160).

493768 is an abundant number, since it is smaller than the sum of its proper divisors (554552).

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

493768 is a wasteful number, since it uses less digits than its factorization.

493768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The square root of 493768 is about 702.6862742362. The cubic root of 493768 is about 79.0389168936.

It can be divided in two parts, 4937 and 68, that added together give a palindrome (5005).

The spelling of 493768 in words is "four hundred ninety-three thousand, seven hundred sixty-eight".