395500560 has 360 divisors, whose sum is σ = 1552132800. Its totient is φ = 83026944.

The previous prime is 395500543. The next prime is 395500577. The reversal of 395500560 is 65005593.

It is an interprime number because it is at equal distance from previous prime (395500543) and next prime (395500577).

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 71 ways as a sum of consecutive naturals, for example, 1987341 + ... + 1987539.

It is an arithmetic number, because the mean of its divisors is an integer number (4311480).

Almost surely, 2^395500560 is an apocalyptic number.

395500560 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 395500560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776066400).

395500560 is an abundant number, since it is smaller than the sum of its proper divisors (1156632240).

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

395500560 is a wasteful number, since it uses less digits than its factorization.

395500560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 33.

The square root of 395500560 is about 19887.1958807671. The cubic root of 395500560 is about 734.0331959634.

The spelling of 395500560 in words is "three hundred ninety-five million, five hundred thousand, five hundred sixty".