395648 has 32 divisors (see below), whose sum is σ = 862920. Its totient is φ = 179200.

The previous prime is 395627. The next prime is 395657. The reversal of 395648 is 846593.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395648.

It is an unprimeable 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, 1268 + ... + 1548.

2³⁹⁵⁶⁴⁸ 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 395648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431460).

395648 is an abundant number, since it is smaller than the sum of its proper divisors (467272).

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

395648 is a wasteful number, since it uses less digits than its factorization.

395648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its digits is 25920, while the sum is 35.

The square root of 395648 is about 629.0055643633. The cubic root of 395648 is about 73.4124398876.

It can be divided in two parts, 3956 and 48, that added together give a palindrome (4004).

The spelling of 395648 in words is "three hundred ninety-five thousand, six hundred forty-eight".