395856 has 30 divisors (see below), whose sum is σ = 1108250. Its totient is φ = 131904.

The previous prime is 395851. The next prime is 395873. The reversal of 395856 is 658593.

It can be written as a sum of positive squares in only one way, i.e., 266256 + 129600 = 516^2 + 360^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 395856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395851) by changing a digit.

395856 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1231 + ... + 1518.

2³⁹⁵⁸⁵⁶ is an apocalyptic number.

395856 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

395856 is an abundant number, since it is smaller than the sum of its proper divisors (712394).

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

395856 is a wasteful number, since it uses less digits than its factorization.

395856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2763 (or 2754 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 395856 is about 629.1708829881. The cubic root of 395856 is about 73.4253024256.

It can be divided in two parts, 3 and 95856, that added together give a palindrome (95859).

The spelling of 395856 in words is "three hundred ninety-five thousand, eight hundred fifty-six".