493884 has 48 divisors (see below), whose sum is σ = 1360800. Its totient is φ = 154368.

The previous prime is 493877. The next prime is 493897. The reversal of 493884 is 488394.

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

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 493884.

It is an unprimeable number.

493884 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 15 ways as a sum of consecutive naturals, for example, 1702 + ... + 1970.

It is an arithmetic number, because the mean of its divisors is an integer number (28350).

2⁴⁹³⁸⁸⁴ 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 493884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680400).

493884 is an abundant number, since it is smaller than the sum of its proper divisors (866916).

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

493884 is a wasteful number, since it uses less digits than its factorization.

493884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 291 counting only the distinct ones).

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

The square root of 493884 is about 702.7688097803. The cubic root of 493884 is about 79.0451058977.

The spelling of 493884 in words is "four hundred ninety-three thousand, eight hundred eighty-four".