493848 has 48 divisors (see below), whose sum is σ = 1411800. Its totient is φ = 155952.

The previous prime is 493817. The next prime is 493853. The reversal of 493848 is 848394.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

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.

Its product of digits (27648) is a multiple of the sum of its prime divisors (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 493848.

It is an unprimeable number.

493848 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, 25983 + ... + 26001.

493848 is a Friedman number, since it can be written as 38^((8+4)/4)*9, using all its digits and the basic arithmetic operations.

2⁴⁹³⁸⁴⁸ 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 493848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705900).

493848 is an abundant number, since it is smaller than the sum of its proper divisors (917952).

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

493848 is a wasteful number, since it uses less digits than its factorization.

493848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 24 counting only the distinct ones).

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

The square root of 493848 is about 702.7431963385. The cubic root of 493848 is about 79.0431852760.

The spelling of 493848 in words is "four hundred ninety-three thousand, eight hundred forty-eight".