395827520 has 112 divisors (see below), whose sum is σ = 1036929600. Its totient is φ = 142725120.

The previous prime is 395827477. The next prime is 395827529. The reversal of 395827520 is 25728593.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395827529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488876 + ... + 489684.

It is an arithmetic number, because the mean of its divisors is an integer number (9258300).

Almost surely, 2^395827520 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 395827520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518464800).

395827520 is an abundant number, since it is smaller than the sum of its proper divisors (641102080).

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

395827520 is a wasteful number, since it uses less digits than its factorization.

395827520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 395827520 is about 19895.4145470759. The cubic root of 395827520 is about 734.2354151363.

The spelling of 395827520 in words is "three hundred ninety-five million, eight hundred twenty-seven thousand, five hundred twenty".