395604864 has 128 divisors (see below), whose sum is σ = 1179079200. Its totient is φ = 130572288.

The previous prime is 395604823. The next prime is 395604889. The reversal of 395604864 is 468406593.

395604864 is a `hidden beast` number, since 3 + 9 + 560 + 4 + 86 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

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, 390022 + ... + 391034.

Almost surely, 2^395604864 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 395604864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589539600).

395604864 is an abundant number, since it is smaller than the sum of its proper divisors (783474336).

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

395604864 is a wasteful number, since it uses less digits than its factorization.

395604864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 395604864 is about 19889.8180987157. The cubic root of 395604864 is about 734.0977183069.

The spelling of 395604864 in words is "three hundred ninety-five million, six hundred four thousand, eight hundred sixty-four".