493488 has 60 divisors (see below), whose sum is σ = 1450800. Its totient is φ = 156288.

The previous prime is 493481. The next prime is 493523. The reversal of 493488 is 884394.

493488 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×493488² = 487060812288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (493481) by changing a digit.

493488 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 11 ways as a sum of consecutive naturals, for example, 3238 + ... + 3386.

It is an arithmetic number, because the mean of its divisors is an integer number (24180).

2⁴⁹³⁴⁸⁸ is an apocalyptic number.

493488 is a gapful number since it is divisible by the number (48) 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 493488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725400).

493488 is an abundant number, since it is smaller than the sum of its proper divisors (957312).

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

493488 is a wasteful number, since it uses less digits than its factorization.

493488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 177 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 493488 is about 702.4870105561. The cubic root of 493488 is about 79.0239739236.

The spelling of 493488 in words is "four hundred ninety-three thousand, four hundred eighty-eight".