393275168 has 108 divisors (see below), whose sum is σ = 923080914. Its totient is φ = 164736000.

The previous prime is 393275123. The next prime is 393275173. The reversal of 393275168 is 861572393.

It can be written as a sum of positive squares in 3 ways, for example, as 269353744 + 123921424 = 16412^2 + 11132^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 654068 + ... + 654668.

Almost surely, 2^393275168 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 393275168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461540457).

393275168 is an abundant number, since it is smaller than the sum of its proper divisors (529805746).

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

393275168 is a wasteful number, since it uses less digits than its factorization.

393275168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 627 counting only the distinct ones).

The product of its digits is 272160, while the sum is 44.

The square root of 393275168 is about 19831.1665819235. The cubic root of 393275168 is about 732.6538595133.

The spelling of 393275168 in words is "three hundred ninety-three million, two hundred seventy-five thousand, one hundred sixty-eight".