493584 has 80 divisors (see below), whose sum is σ = 1583232. Its totient is φ = 129024.

The previous prime is 493583. The next prime is 493607. The reversal of 493584 is 485394.

Its product of digits (17280) is a multiple of the sum of its prime factors (144).

It is not an unprimeable number, because it can be changed into a prime (493583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4312 + ... + 4424.

2⁴⁹³⁵⁸⁴ 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 493584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791616).

493584 is an abundant number, since it is smaller than the sum of its proper divisors (1089648).

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

493584 is a wasteful number, since it uses less digits than its factorization.

493584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 138 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 493584 is about 702.5553358989. Note that the first 3 decimals coincide. The cubic root of 493584 is about 79.0290978642.

It can be divided in two parts, 49 and 3584, that multiplied together give a cube (175616 = 56³).

The spelling of 493584 in words is "four hundred ninety-three thousand, five hundred eighty-four".