493345216 has 224 divisors, whose sum is σ = 1310883840. Its totient is φ = 178827264.

The previous prime is 493345199. The next prime is 493345261. The reversal of 493345216 is 612543394.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3884545 + ... + 3884671.

It is an arithmetic number, because the mean of its divisors is an integer number (5852160).

Almost surely, 2^493345216 is an apocalyptic number.

493345216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493345216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655441920).

493345216 is an abundant number, since it is smaller than the sum of its proper divisors (817538624).

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

493345216 is a wasteful number, since it uses less digits than its factorization.

493345216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 201 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 493345216 is about 22211.3758241132. The cubic root of 493345216 is about 790.1635168654.

The spelling of 493345216 in words is "four hundred ninety-three million, three hundred forty-five thousand, two hundred sixteen".