395795160 has 160 divisors (see below), whose sum is σ = 1340776800. Its totient is φ = 104716800.

The previous prime is 395795129. The next prime is 395795167. The reversal of 395795160 is 61597593.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395795167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 488836 + ... + 489644.

It is an arithmetic number, because the mean of its divisors is an integer number (8379855).

Almost surely, 2^395795160 is an apocalyptic number.

395795160 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 395795160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670388400).

395795160 is an abundant number, since it is smaller than the sum of its proper divisors (944981640).

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

395795160 is a wasteful number, since it uses less digits than its factorization.

395795160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 395795160 is about 19894.6012777336. The cubic root of 395795160 is about 734.2154059956.

The spelling of 395795160 in words is "three hundred ninety-five million, seven hundred ninety-five thousand, one hundred sixty".