395805960 has 128 divisors (see below), whose sum is σ = 1439337600. Its totient is φ = 95950080.

The previous prime is 395805953. The next prime is 395806039. The reversal of 395805960 is 69508593.

395805960 is a `hidden beast` number, since 3 + 9 + 58 + 0 + 596 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 4779 + ... + 28538.

It is an arithmetic number, because the mean of its divisors is an integer number (11244825).

Almost surely, 2^395805960 is an apocalyptic number.

395805960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395805960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719668800).

395805960 is an abundant number, since it is smaller than the sum of its proper divisors (1043531640).

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

395805960 is a wasteful number, since it uses less digits than its factorization.

395805960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33348 (or 33338 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 395805960 is about 19894.8727063030. The cubic root of 395805960 is about 734.2220840748. Note that the first 3 decimals are identical.

The spelling of 395805960 in words is "three hundred ninety-five million, eight hundred five thousand, nine hundred sixty".