493317216 has 384 divisors, whose sum is σ = 1785369600. Its totient is φ = 131010048.

The previous prime is 493317211. The next prime is 493317221. The reversal of 493317216 is 612713394.

It is an interprime number because it is at equal distance from previous prime (493317211) and next prime (493317221).

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 and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (27216) is a multiple of the sum of its prime divisors (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493317211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9307846 + ... + 9307898.

It is an arithmetic number, because the mean of its divisors is an integer number (4649400).

Almost surely, 2^493317216 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 493317216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892684800).

493317216 is an abundant number, since it is smaller than the sum of its proper divisors (1292052384).

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

493317216 is an equidigital number, since it uses as much as digits as its factorization.

493317216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 493317216 is about 22210.7455075241. The cubic root of 493317216 is about 790.1485679032.

The spelling of 493317216 in words is "four hundred ninety-three million, three hundred seventeen thousand, two hundred sixteen".