493968 has 40 divisors (see below), whose sum is σ = 1312416. Its totient is φ = 160000.

The previous prime is 493967. The next prime is 493973. The reversal of 493968 is 869394.

493968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (493967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1843 + ... + 2093.

2⁴⁹³⁹⁶⁸ is an apocalyptic number.

493968 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 493968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656208).

493968 is an abundant number, since it is smaller than the sum of its proper divisors (818448).

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

493968 is a wasteful number, since it uses less digits than its factorization.

493968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 297 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 493968 is about 702.8285708478. The cubic root of 493968 is about 79.0495869853.

The spelling of 493968 in words is "four hundred ninety-three thousand, nine hundred sixty-eight".