395148 has 48 divisors (see below), whose sum is σ = 1058400. Its totient is φ = 113664.

The previous prime is 395147. The next prime is 395159. The reversal of 395148 is 841593.

It is a super-2 number, since 2×395148² = 312283883808, which contains 22 as substring.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 395148.

It is not an unprimeable number, because it can be changed into a prime (395141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2578 + ... + 2726.

It is an arithmetic number, because the mean of its divisors is an integer number (22050).

2³⁹⁵¹⁴⁸ 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 395148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529200).

395148 is an abundant number, since it is smaller than the sum of its proper divisors (663252).

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

395148 is a wasteful number, since it uses less digits than its factorization.

395148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 184 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 395148 is about 628.6079859499. The cubic root of 395148 is about 73.3815018709.

The spelling of 395148 in words is "three hundred ninety-five thousand, one hundred forty-eight".