395584 has 28 divisors (see below), whose sum is σ = 898144. Its totient is φ = 169344.

The previous prime is 395581. The next prime is 395597. The reversal of 395584 is 485593.

It is a tau number, because it is divible by the number of its divisors (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395581) 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, 7 + ... + 889.

2³⁹⁵⁵⁸⁴ 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 395584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449072).

395584 is an abundant number, since it is smaller than the sum of its proper divisors (502560).

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

395584 is an equidigital number, since it uses as much as digits as its factorization.

395584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 892 counting only the distinct ones).

The product of its digits is 21600, while the sum is 34.

The square root of 395584 is about 628.9546883520. The cubic root of 395584 is about 73.4084812766.

Subtracting 395584 from its reverse (485593), we obtain a palindrome (90009).

It can be divided in two parts, 395 and 584, that added together give a palindrome (979).

The spelling of 395584 in words is "three hundred ninety-five thousand, five hundred eighty-four".