395875648 has 56 divisors (see below), whose sum is σ = 899769600. Its totient is φ = 169287168.

The previous prime is 395875639. The next prime is 395875687. The reversal of 395875648 is 846578593.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321498 + ... + 322726.

Almost surely, 2^395875648 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 395875648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449884800).

395875648 is an abundant number, since it is smaller than the sum of its proper divisors (503893952).

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

395875648 is a wasteful number, since it uses less digits than its factorization.

395875648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1957 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 55.

The square root of 395875648 is about 19896.6240352478. The cubic root of 395875648 is about 734.2651720785.

The spelling of 395875648 in words is "three hundred ninety-five million, eight hundred seventy-five thousand, six hundred forty-eight".