493375168 has 224 divisors, whose sum is σ = 1245339648. Its totient is φ = 190771200.

The previous prime is 493375153. The next prime is 493375217. The reversal of 493375168 is 861573394.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10497321 + ... + 10497367.

It is an arithmetic number, because the mean of its divisors is an integer number (5559552).

Almost surely, 2^493375168 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 493375168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622669824).

493375168 is an abundant number, since it is smaller than the sum of its proper divisors (751964480).

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

493375168 is a wasteful number, since it uses less digits than its factorization.

493375168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its digits is 544320, while the sum is 46.

The square root of 493375168 is about 22212.0500629726. The cubic root of 493375168 is about 790.1795073578.

The spelling of 493375168 in words is "four hundred ninety-three million, three hundred seventy-five thousand, one hundred sixty-eight".