493824 has 36 divisors (see below), whose sum is σ = 1316336. Its totient is φ = 164352.

The previous prime is 493817. The next prime is 493853. The reversal of 493824 is 428394.

It is a happy number.

493824 is nontrivially palindromic in base 15.

493824 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 493791 and 493800.

It is an unprimeable number.

493824 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 3 ways as a sum of consecutive naturals, for example, 447 + ... + 1089.

2⁴⁹³⁸²⁴ 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 493824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658168).

493824 is an abundant number, since it is smaller than the sum of its proper divisors (822512).

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

493824 is an equidigital number, since it uses as much as digits as its factorization.

493824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 648 counting only the distinct ones).

The product of its digits is 6912, while the sum is 30.

The square root of 493824 is about 702.7261201919. The cubic root of 493824 is about 79.0419048097.

The spelling of 493824 in words is "four hundred ninety-three thousand, eight hundred twenty-four".