395200 has 84 divisors (see below), whose sum is σ = 1102360. Its totient is φ = 138240.

The previous prime is 395191. The next prime is 395201. The reversal of 395200 is 2593.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 20791 + ... + 20809.

2³⁹⁵²⁰⁰ 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 395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551180).

395200 is an abundant number, since it is smaller than the sum of its proper divisors (707160).

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

395200 is a wasteful number, since it uses less digits than its factorization.

395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 395200 is about 628.6493458201. The cubic root of 395200 is about 73.3847206401.

Adding to 395200 its reverse (2593), we get a palindrome (397793).

It can be divided in two parts, 395 and 200, that added together give a palindrome (595).

The spelling of 395200 in words is "three hundred ninety-five thousand, two hundred".