395160768 has 84 divisors (see below), whose sum is σ = 1174653480. Its totient is φ = 131715072.

The previous prime is 395160763. The next prime is 395160791. The reversal of 395160768 is 867061593.

It is a happy number.

395160768 is a `hidden beast` number, since 39 + 5 + 1 + 607 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (395160763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2848 + ... + 28256.

It is an arithmetic number, because the mean of its divisors is an integer number (13983970).

Almost surely, 2^395160768 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 395160768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587326740).

395160768 is an abundant number, since it is smaller than the sum of its proper divisors (779492712).

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

395160768 is an equidigital number, since it uses as much as digits as its factorization.

395160768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25436 (or 25414 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 395160768 is about 19878.6510608743. The cubic root of 395160768 is about 733.8229222867.

The spelling of 395160768 in words is "three hundred ninety-five million, one hundred sixty thousand, seven hundred sixty-eight".