395256 has 32 divisors (see below), whose sum is σ = 1013760. Its totient is φ = 128352.

The previous prime is 395251. The next prime is 395261. The reversal of 395256 is 652593.

It is an interprime number because it is at equal distance from previous prime (395251) and next prime (395261).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 841 + ... + 1223.

It is an arithmetic number, because the mean of its divisors is an integer number (31680).

2³⁹⁵²⁵⁶ 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 395256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506880).

395256 is an abundant number, since it is smaller than the sum of its proper divisors (618504).

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

395256 is a wasteful number, since it uses less digits than its factorization.

395256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its digits is 8100, while the sum is 30.

The square root of 395256 is about 628.6938841758. The cubic root of 395256 is about 73.3881866913.

It can be divided in two parts, 3 and 95256, that added together give a palindrome (95259).

The spelling of 395256 in words is "three hundred ninety-five thousand, two hundred fifty-six".