395964072 has 64 divisors (see below), whose sum is σ = 1257033600. Its totient is φ = 113132160.

The previous prime is 395964071. The next prime is 395964083. The reversal of 395964072 is 270469593.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (395964071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129429 + ... + 132452.

It is an arithmetic number, because the mean of its divisors is an integer number (19641150).

Almost surely, 2^395964072 is an apocalyptic number.

It is an amenable number.

395964072 is an abundant number, since it is smaller than the sum of its proper divisors (861069528).

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

395964072 is a wasteful number, since it uses less digits than its factorization.

395964072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261903 (or 261893 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 395964072 is about 19898.8459966904. The cubic root of 395964072 is about 734.3198372496.

The spelling of 395964072 in words is "three hundred ninety-five million, nine hundred sixty-four thousand, seventy-two".