493416 has 96 divisors (see below), whose sum is σ = 1684800. Its totient is φ = 126720.

The previous prime is 493403. The next prime is 493433. The reversal of 493416 is 614394.

493416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 493416.

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 493416.

It is an unprimeable number.

493416 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 23 ways as a sum of consecutive naturals, for example, 5500 + ... + 5588.

It is an arithmetic number, because the mean of its divisors is an integer number (17550).

2⁴⁹³⁴¹⁶ 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 493416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (842400).

493416 is an abundant number, since it is smaller than the sum of its proper divisors (1191384).

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

493416 is a wasteful number, since it uses less digits than its factorization.

493416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 493416 is about 702.4357621875. The cubic root of 493416 is about 79.0201305320.

It can be divided in two parts, 4934 and 16, that added together give a triangular number (4950 = T₉₉).

The spelling of 493416 in words is "four hundred ninety-three thousand, four hundred sixteen".