395340 has 48 divisors (see below), whose sum is σ = 1209600. Its totient is φ = 95680.

The previous prime is 395323. The next prime is 395377. The reversal of 395340 is 43593.

395340 is nontrivially palindromic in base 9.

It is a zygodrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 395340.

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, 361 + ... + 959.

It is an arithmetic number, because the mean of its divisors is an integer number (25200).

2³⁹⁵³⁴⁰ is an apocalyptic number.

395340 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 395340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604800).

395340 is an abundant number, since it is smaller than the sum of its proper divisors (814260).

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

395340 is a wasteful number, since it uses less digits than its factorization.

395340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 395340 is about 628.7606857939. The cubic root of 395340 is about 73.3933851543.

It can be divided in two parts, 3953 and 40, that added together give a palindrome (3993).

The spelling of 395340 in words is "three hundred ninety-five thousand, three hundred forty".