493480 has 48 divisors (see below), whose sum is σ = 1218780. Its totient is φ = 179712.

The previous prime is 493463. The next prime is 493481. The reversal of 493480 is 84394.

493480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 60516 + 432964 = 246^2 + 658^2 .

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.

493480 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, 6724 + ... + 6796.

2⁴⁹³⁴⁸⁰ is an apocalyptic number.

493480 is a gapful number since it is divisible by the number (40) 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 493480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609390).

493480 is an abundant number, since it is smaller than the sum of its proper divisors (725300).

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

493480 is a wasteful number, since it uses less digits than its factorization.

493480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 493480 is about 702.4813164775. The cubic root of 493480 is about 79.0235468985.

The spelling of 493480 in words is "four hundred ninety-three thousand, four hundred eighty".