395745168 has 240 divisors, whose sum is σ = 1314499200. Its totient is φ = 101945088.

The previous prime is 395745157. The next prime is 395745173. The reversal of 395745168 is 861547593.

It is a super-2 number, since 2×395745168² = 313228475990696448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9203355 + ... + 9203397.

It is an arithmetic number, because the mean of its divisors is an integer number (5477080).

Almost surely, 2^395745168 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 395745168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657249600).

395745168 is an abundant number, since it is smaller than the sum of its proper divisors (918754032).

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

395745168 is a wasteful number, since it uses less digits than its factorization.

395745168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 68 counting only the distinct ones).

The product of its digits is 907200, while the sum is 48.

The square root of 395745168 is about 19893.3448167974. The cubic root of 395745168 is about 734.1844923263.

The spelling of 395745168 in words is "three hundred ninety-five million, seven hundred forty-five thousand, one hundred sixty-eight".