493344 has 48 divisors (see below), whose sum is σ = 1441440. Its totient is φ = 164160.

The previous prime is 493333. The next prime is 493351. The reversal of 493344 is 443394.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

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

Its product of digits (5184) is a multiple of the sum of its prime divisors (576).

It is an unprimeable number.

493344 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 7 ways as a sum of consecutive naturals, for example, 579 + ... + 1149.

It is an arithmetic number, because the mean of its divisors is an integer number (30030).

2⁴⁹³³⁴⁴ 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 493344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720720).

493344 is an abundant number, since it is smaller than the sum of its proper divisors (948096).

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

493344 is a wasteful number, since it uses less digits than its factorization.

493344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 576 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

The square root of 493344 is about 702.3845100798. The cubic root of 493344 is about 79.0162867665.

The spelling of 493344 in words is "four hundred ninety-three thousand, three hundred forty-four".