493840 has 20 divisors (see below), whose sum is σ = 1148364. Its totient is φ = 197504.

The previous prime is 493817. The next prime is 493853. The reversal of 493840 is 48394.

493840 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 2 ways, for example, as 63504 + 430336 = 252^2 + 656^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 493799 and 493808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3007 + ... + 3166.

2⁴⁹³⁸⁴⁰ is an apocalyptic number.

493840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

493840 is an abundant number, since it is smaller than the sum of its proper divisors (654524).

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

493840 is a wasteful number, since it uses less digits than its factorization.

493840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6186 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 493840 is about 702.7375043357. The cubic root of 493840 is about 79.0427584585.

The spelling of 493840 in words is "four hundred ninety-three thousand, eight hundred forty".