493020 has 96 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 118080.

The previous prime is 493013. The next prime is 493021. The reversal of 493020 is 20394.

493020 = T₃₀₉ + T₃₁₀ + ... + T₃₁₈.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 492984 and 493002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5899 + ... + 5981.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2⁴⁹³⁰²⁰ 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 493020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

493020 is an abundant number, since it is smaller than the sum of its proper divisors (1200420).

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

493020 is a wasteful number, since it uses less digits than its factorization.

493020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 493020 is about 702.1538292995. The cubic root of 493020 is about 78.9989851923.

Subtracting from 493020 its product of nonzero digits (216), we obtain a square (492804 = 702²).

It can be divided in two parts, 4930 and 20, that added together give a triangular number (4950 = T₉₉).

The spelling of 493020 in words is "four hundred ninety-three thousand, twenty".