395485344 has 72 divisors (see below), whose sum is σ = 1152126612. Its totient is φ = 128609280.

The previous prime is 395485333. The next prime is 395485357. The reversal of 395485344 is 443584593.

It can be written as a sum of positive squares in 2 ways, for example, as 391564944 + 3920400 = 19788^2 + 1980^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 395485344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4939 + ... + 28554.

Almost surely, 2^395485344 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 395485344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576063306).

395485344 is an abundant number, since it is smaller than the sum of its proper divisors (756641268).

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

395485344 is a wasteful number, since it uses less digits than its factorization.

395485344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33550 (or 33539 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 395485344 is about 19886.8133193833. The cubic root of 395485344 is about 734.0237824139.

It can be divided in two parts, 3954 and 85344, that added together give a palindrome (89298).

The spelling of 395485344 in words is "three hundred ninety-five million, four hundred eighty-five thousand, three hundred forty-four".