395808 has 96 divisors (see below), whose sum is σ = 1290240. Its totient is φ = 103680.

The previous prime is 395803. The next prime is 395849. The reversal of 395808 is 808593.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (395803) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12753 + ... + 12783.

It is an arithmetic number, because the mean of its divisors is an integer number (13440).

2³⁹⁵⁸⁰⁸ is an apocalyptic number.

395808 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (645120).

395808 is an abundant number, since it is smaller than the sum of its proper divisors (894432).

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

395808 is a wasteful number, since it uses less digits than its factorization.

395808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 395808 is about 629.1327363919. The cubic root of 395808 is about 73.4223345476.

The spelling of 395808 in words is "three hundred ninety-five thousand, eight hundred eight".