395025384560 has 80 divisors (see below), whose sum is σ = 958918625280. Its totient is φ = 151052985600.

The previous prime is 395025384541. The next prime is 395025384587. The reversal of 395025384560 is 65483520593.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 395025384499 and 395025384508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3175535 + ... + 3297585.

It is an arithmetic number, because the mean of its divisors is an integer number (11986482816).

Almost surely, 2^395025384560 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 395025384560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479459312640).

395025384560 is an abundant number, since it is smaller than the sum of its proper divisors (563893240720).

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

395025384560 is a wasteful number, since it uses less digits than its factorization.

395025384560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123846 (or 123840 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 50.

The spelling of 395025384560 in words is "three hundred ninety-five billion, twenty-five million, three hundred eighty-four thousand, five hundred sixty".