395456 has 28 divisors (see below), whose sum is σ = 810768. Its totient is φ = 191232.

The previous prime is 395453. The next prime is 395459. The reversal of 395456 is 654593.

It is a happy number.

395456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (395453) and next prime (395459).

It is a Harshad number since it is a multiple of its sum of digits (32).

Its product of digits (16200) is a multiple of the sum of its prime factors (216).

It is not an unprimeable number, because it can be changed into a prime (395453) 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 3 ways as a sum of consecutive naturals, for example, 2285 + ... + 2451.

It is an arithmetic number, because the mean of its divisors is an integer number (28956).

2³⁹⁵⁴⁵⁶ 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 395456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405384).

395456 is an abundant number, since it is smaller than the sum of its proper divisors (415312).

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

395456 is a wasteful number, since it uses less digits than its factorization.

395456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its digits is 16200, while the sum is 32.

The square root of 395456 is about 628.8529239814. The cubic root of 395456 is about 73.4005627736.

It can be divided in two parts, 3 and 95456, that added together give a palindrome (95459).

The spelling of 395456 in words is "three hundred ninety-five thousand, four hundred fifty-six".