395920 has 60 divisors (see below), whose sum is σ = 1081404. Its totient is φ = 134400.

The previous prime is 395909. The next prime is 395921. The reversal of 395920 is 29593.

It can be written as a sum of positive squares in 2 ways, for example, as 283024 + 112896 = 532^2 + 336^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (395921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3870 + ... + 3970.

2³⁹⁵⁹²⁰ 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 395920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540702).

395920 is an abundant number, since it is smaller than the sum of its proper divisors (685484).

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

395920 is a wasteful number, since it uses less digits than its factorization.

395920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 395920 is about 629.2217415188. The cubic root of 395920 is about 73.4292592232.

The spelling of 395920 in words is "three hundred ninety-five thousand, nine hundred twenty".