395668560 has 160 divisors (see below), whose sum is σ = 1431908352. Its totient is φ = 88496640.

The previous prime is 395668543. The next prime is 395668561. The reversal of 395668560 is 65866593.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395668561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76455 + ... + 81465.

Almost surely, 2^395668560 is an apocalyptic number.

395668560 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 395668560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715954176).

395668560 is an abundant number, since it is smaller than the sum of its proper divisors (1036239792).

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

395668560 is a wasteful number, since it uses less digits than its factorization.

395668560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5081 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 48.

The square root of 395668560 is about 19891.4192555484. The cubic root of 395668560 is about 734.1371150073.

The spelling of 395668560 in words is "three hundred ninety-five million, six hundred sixty-eight thousand, five hundred sixty".