493357312 has 144 divisors (see below), whose sum is σ = 1186762752. Its totient is φ = 200263680.

The previous prime is 493357307. The next prime is 493357321. The reversal of 493357312 is 213753394.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4610763 + ... + 4610869.

It is an arithmetic number, because the mean of its divisors is an integer number (8241408).

Almost surely, 2^493357312 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 493357312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593381376).

493357312 is an abundant number, since it is smaller than the sum of its proper divisors (693405440).

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

493357312 is a wasteful number, since it uses less digits than its factorization.

493357312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 230 counting only the distinct ones).

The product of its digits is 68040, while the sum is 37.

The square root of 493357312 is about 22211.6481153470. The cubic root of 493357312 is about 790.1699746422.

The spelling of 493357312 in words is "four hundred ninety-three million, three hundred fifty-seven thousand, three hundred twelve".