395240 has 32 divisors (see below), whose sum is σ = 914760. Its totient is φ = 153600.

The previous prime is 395231. The next prime is 395243. The reversal of 395240 is 42593.

395240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 264196 + 131044 = 514^2 + 362^2 .

It is a Smith number, since the sum of its digits (23) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1520 + ... + 1760.

2³⁹⁵²⁴⁰ 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 395240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457380).

395240 is an abundant number, since it is smaller than the sum of its proper divisors (519520).

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

395240 is a wasteful number, since it uses less digits than its factorization.

395240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 395240 is about 628.6811592532. The cubic root of 395240 is about 73.3871964244.

The spelling of 395240 in words is "three hundred ninety-five thousand, two hundred forty".