493000 has 64 divisors (see below), whose sum is σ = 1263600. Its totient is φ = 179200.

The previous prime is 492979. The next prime is 493001. The reversal of 493000 is 394.

493000 is nontrivially palindromic in base 7.

493000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 54756 + 438244 = 234^2 + 662^2 .

It is an Ulam number.

It is a nialpdrome in base 14.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 493000.

It is not an unprimeable number, because it can be changed into a prime (493001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16986 + ... + 17014.

2⁴⁹³⁰⁰⁰ is an apocalyptic number.

493000 is a gapful number since it is divisible by the number (40) 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 493000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631800).

493000 is an abundant number, since it is smaller than the sum of its proper divisors (770600).

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

493000 is a wasteful number, since it uses less digits than its factorization.

493000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 493000 is about 702.1395872617. The cubic root of 493000 is about 78.9979169456.

Adding to 493000 its reverse (394), we get a palindrome (493394).

The spelling of 493000 in words is "four hundred ninety-three thousand".