395568096 has 192 divisors, whose sum is σ = 1317980160. Its totient is φ = 100892160.

The previous prime is 395568083. The next prime is 395568143. The reversal of 395568096 is 690865593.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 435675 + ... + 436581.

It is an arithmetic number, because the mean of its divisors is an integer number (6864480).

Almost surely, 2^395568096 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 395568096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658990080).

395568096 is an abundant number, since it is smaller than the sum of its proper divisors (922412064).

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

395568096 is a wasteful number, since it uses less digits than its factorization.

395568096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 51.

The square root of 395568096 is about 19888.8937852260. The cubic root of 395568096 is about 734.0749749556.

The spelling of 395568096 in words is "three hundred ninety-five million, five hundred sixty-eight thousand, ninety-six".