395568144 has 80 divisors (see below), whose sum is σ = 1195211200. Its totient is φ = 124913664.

The previous prime is 395568143. The next prime is 395568167. The reversal of 395568144 is 441865593.

It is a self number, because there is not a number n which added to its sum of digits gives 395568144.

It is not an unprimeable number, because it can be changed into a prime (395568143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15889 + ... + 32304.

It is an arithmetic number, because the mean of its divisors is an integer number (14940140).

Almost surely, 2^395568144 is an apocalyptic number.

It is an amenable number.

395568144 is an abundant number, since it is smaller than the sum of its proper divisors (799643056).

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

395568144 is a wasteful number, since it uses less digits than its factorization.

395568144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48229 (or 48217 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 395568144 is about 19888.8949919295. The cubic root of 395568144 is about 734.0750046476.

The spelling of 395568144 in words is "three hundred ninety-five million, five hundred sixty-eight thousand, one hundred forty-four".