395615844 has 36 divisors (see below), whose sum is σ = 1076955516. Its totient is φ = 121727808.

The previous prime is 395615821. The next prime is 395615887. The reversal of 395615844 is 448516593.

395615844 is a `hidden beast` number, since 3 + 9 + 5 + 61 + 584 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 170615844 + 225000000 = 13062^2 + 15000^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 395615844.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422199 + ... + 423134.

It is an arithmetic number, because the mean of its divisors is an integer number (29915431).

Almost surely, 2^395615844 is an apocalyptic number.

It is an amenable number.

395615844 is an abundant number, since it is smaller than the sum of its proper divisors (681339672).

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

395615844 is a wasteful number, since it uses less digits than its factorization.

395615844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 845356 (or 845351 counting only the distinct ones).

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

The square root of 395615844 is about 19890.0941174244. The cubic root of 395615844 is about 734.1045098634.

The spelling of 395615844 in words is "three hundred ninety-five million, six hundred fifteen thousand, eight hundred forty-four".