493724 has 36 divisors (see below), whose sum is σ = 1101240. Its totient is φ = 191520.

The previous prime is 493721. The next prime is 493729. The reversal of 493724 is 427394.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2042 + ... + 2270.

It is an arithmetic number, because the mean of its divisors is an integer number (30590).

2⁴⁹³⁷²⁴ is an apocalyptic number.

493724 is a gapful number since it is divisible by the number (44) 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 493724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550620).

493724 is an abundant number, since it is smaller than the sum of its proper divisors (607516).

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

493724 is a wasteful number, since it uses less digits than its factorization.

493724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 249 counting only the distinct ones).

The product of its digits is 6048, while the sum is 29.

The square root of 493724 is about 702.6549651145. The cubic root of 493724 is about 79.0365690868.

It can be divided in two parts, 49 and 3724, that added together give a palindrome (3773).

The spelling of 493724 in words is "four hundred ninety-three thousand, seven hundred twenty-four".