395855616 has 144 divisors (see below), whose sum is σ = 1172111360. Its totient is φ = 117780480.

The previous prime is 395855587. The next prime is 395855617. The reversal of 395855616 is 616558593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395855617) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 308865 + ... + 310143.

Almost surely, 2^395855616 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 395855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586055680).

395855616 is an abundant number, since it is smaller than the sum of its proper divisors (776255744).

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

395855616 is a wasteful number, since it uses less digits than its factorization.

395855616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342 (or 1328 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The square root of 395855616 is about 19896.1206268961. The cubic root of 395855616 is about 734.2527868357.

The spelling of 395855616 in words is "three hundred ninety-five million, eight hundred fifty-five thousand, six hundred sixteen".