395792 has 20 divisors (see below), whose sum is σ = 794220. Its totient is φ = 190848.

The previous prime is 395767. The next prime is 395803. The reversal of 395792 is 297593.

It can be written as a sum of positive squares in 2 ways, for example, as 99856 + 295936 = 316^2 + 544^2 .

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395792.

It is an unprimeable number.

395792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 38 + ... + 890.

It is an arithmetic number, because the mean of its divisors is an integer number (39711).

2³⁹⁵⁷⁹² 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 395792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397110).

395792 is an abundant number, since it is smaller than the sum of its proper divisors (398428).

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

395792 is a wasteful number, since it uses less digits than its factorization.

395792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 884 counting only the distinct ones).

The product of its digits is 17010, while the sum is 35.

The square root of 395792 is about 629.1200203459. The cubic root of 395792 is about 73.4213452016.

The spelling of 395792 in words is "three hundred ninety-five thousand, seven hundred ninety-two".