493536 has 48 divisors (see below), whose sum is σ = 1333584. Its totient is φ = 159744.

The previous prime is 493531. The next prime is 493541. The reversal of 493536 is 635394.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (493531) and next prime (493541).

It is a tau number, because it is divible by the number of its divisors (48).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493531) by changing a digit.

493536 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 7 ways as a sum of consecutive naturals, for example, 5040 + ... + 5136.

It is an arithmetic number, because the mean of its divisors is an integer number (27783).

2⁴⁹³⁵³⁶ 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 493536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666792).

493536 is an abundant number, since it is smaller than the sum of its proper divisors (840048).

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

493536 is a wasteful number, since it uses less digits than its factorization.

493536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its digits is 9720, while the sum is 30.

The square root of 493536 is about 702.5211740581. The cubic root of 493536 is about 79.0265359769.

The spelling of 493536 in words is "four hundred ninety-three thousand, five hundred thirty-six".