395820 has 48 divisors (see below), whose sum is σ = 1233120. Its totient is φ = 105408.

The previous prime is 395803. The next prime is 395849. The reversal of 395820 is 28593.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

395820 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174 + ... + 906.

It is an arithmetic number, because the mean of its divisors is an integer number (25690).

2³⁹⁵⁸²⁰ is an apocalyptic number.

395820 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 395820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616560).

395820 is an abundant number, since it is smaller than the sum of its proper divisors (837300).

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

395820 is a wasteful number, since it uses less digits than its factorization.

395820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 395820 is about 629.1422732578. The cubic root of 395820 is about 73.4230765396.

The spelling of 395820 in words is "three hundred ninety-five thousand, eight hundred twenty".