395120 has 40 divisors (see below), whose sum is σ = 1004400. Its totient is φ = 143360.

The previous prime is 395119. The next prime is 395137. The reversal of 395120 is 21593.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×395120² = 312239628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 395092 and 395101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 656 + ... + 1104.

It is an arithmetic number, because the mean of its divisors is an integer number (25110).

2³⁹⁵¹²⁰ 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 395120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502200).

395120 is an abundant number, since it is smaller than the sum of its proper divisors (609280).

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

395120 is a wasteful number, since it uses less digits than its factorization.

395120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 395120 is about 628.5857141234. The cubic root of 395120 is about 73.3797685704.

It can be divided in two parts, 395 and 120, that added together give a palindrome (515).

The spelling of 395120 in words is "three hundred ninety-five thousand, one hundred twenty".