393771168 has 144 divisors (see below), whose sum is σ = 1314593280. Its totient is φ = 109444608.

The previous prime is 393771149. The next prime is 393771223. The reversal of 393771168 is 861177393.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71953 + ... + 77231.

It is an arithmetic number, because the mean of its divisors is an integer number (9129120).

Almost surely, 2^393771168 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 393771168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657296640).

393771168 is an abundant number, since it is smaller than the sum of its proper divisors (920822112).

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

393771168 is a wasteful number, since it uses less digits than its factorization.

393771168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5339 (or 5328 counting only the distinct ones).

The product of its digits is 190512, while the sum is 45.

The square root of 393771168 is about 19843.6682092803. The cubic root of 393771168 is about 732.9617386427.

The spelling of 393771168 in words is "three hundred ninety-three million, seven hundred seventy-one thousand, one hundred sixty-eight".