493368 has 32 divisors (see below), whose sum is σ = 1257360. Its totient is φ = 161280.

The previous prime is 493351. The next prime is 493369. The reversal of 493368 is 863394.

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 (493369) by changing a digit.

493368 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 7 ways as a sum of consecutive naturals, for example, 1296 + ... + 1632.

2⁴⁹³³⁶⁸ 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 493368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628680).

493368 is an abundant number, since it is smaller than the sum of its proper divisors (763992).

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

493368 is a wasteful number, since it uses less digits than its factorization.

493368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 403 counting only the distinct ones).

The product of its digits is 15552, while the sum is 33.

The square root of 493368 is about 702.4015945312. The cubic root of 493368 is about 79.0175680632.

It can be divided in two parts, 493 and 368, that added together give a triangular number (861 = T₄₁).

The spelling of 493368 in words is "four hundred ninety-three thousand, three hundred sixty-eight".