493948 has 48 divisors (see below), whose sum is σ = 1128960. Its totient is φ = 183744.

The previous prime is 493939. The next prime is 493967. The reversal of 493948 is 849394.

493948 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

493948 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8343 + ... + 8401.

It is an arithmetic number, because the mean of its divisors is an integer number (23520).

2⁴⁹³⁹⁴⁸ 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 493948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564480).

493948 is an abundant number, since it is smaller than the sum of its proper divisors (635012).

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

493948 is a wasteful number, since it uses less digits than its factorization.

493948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 104 counting only the distinct ones).

The product of its digits is 31104, while the sum is 37.

The square root of 493948 is about 702.8143424831. The cubic root of 493948 is about 79.0485201058.

It can be divided in two parts, 493 and 948, that added together give a palindrome (1441).

The spelling of 493948 in words is "four hundred ninety-three thousand, nine hundred forty-eight".