493122816 has 108 divisors (see below), whose sum is σ = 1474639712. Its totient is φ = 164353536.

The previous prime is 493122779. The next prime is 493122823. The reversal of 493122816 is 618221394.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×493122816² = 486340223319539712, which contains 22 as substring.

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.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58245 + ... + 66171.

Almost surely, 2^493122816 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 493122816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737319856).

493122816 is an abundant number, since it is smaller than the sum of its proper divisors (981516896).

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

493122816 is an frugal number, since it uses more digits than its factorization.

493122816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7958 (or 7932 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 493122816 is about 22206.3688161752. The cubic root of 493122816 is about 790.0447637937.

The spelling of 493122816 in words is "four hundred ninety-three million, one hundred twenty-two thousand, eight hundred sixteen".