395560 has 64 divisors (see below), whose sum is σ = 1036800. Its totient is φ = 134400.

The previous prime is 395543. The next prime is 395581. The reversal of 395560 is 65593.

395560 = T₁₄₄ + T₁₄₅ + ... + T₁₇₄.

It is a happy number.

395560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12745 + ... + 12775.

It is an arithmetic number, because the mean of its divisors is an integer number (16200).

2³⁹⁵⁵⁶⁰ 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 395560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518400).

395560 is an abundant number, since it is smaller than the sum of its proper divisors (641240).

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

395560 is a wasteful number, since it uses less digits than its factorization.

395560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 395560 is about 628.9356087868. The cubic root of 395560 is about 73.4069966874.

The spelling of 395560 in words is "three hundred ninety-five thousand, five hundred sixty".