493116 has 48 divisors (see below), whose sum is σ = 1293600. Its totient is φ = 145152.

The previous prime is 493111. The next prime is 493121. The reversal of 493116 is 611394.

493116 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (493111) and next prime (493121).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493111) by changing a digit.

493116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4470 + ... + 4578.

It is an arithmetic number, because the mean of its divisors is an integer number (26950).

2⁴⁹³¹¹⁶ 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 493116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646800).

493116 is an abundant number, since it is smaller than the sum of its proper divisors (800484).

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

493116 is a wasteful number, since it uses less digits than its factorization.

493116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 493116 is about 702.2221870605. Note that the first 3 decimals coincide. The cubic root of 493116 is about 79.0041123747.

The spelling of 493116 in words is "four hundred ninety-three thousand, one hundred sixteen".