395748 has 18 divisors (see below), whose sum is σ = 1000454. Its totient is φ = 131904.

The previous prime is 395741. The next prime is 395749. The reversal of 395748 is 847593.

It can be written as a sum of positive squares in only one way, i.e., 278784 + 116964 = 528^2 + 342^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 10993 = 395748 / (3 + 9 + 5 + 7 + 4 + 8).

It is not an unprimeable number, because it can be changed into a prime (395741) by changing a digit.

395748 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5461 + ... + 5532.

2³⁹⁵⁷⁴⁸ is an apocalyptic number.

It is an amenable number.

395748 is an abundant number, since it is smaller than the sum of its proper divisors (604706).

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

395748 is a wasteful number, since it uses less digits than its factorization.

395748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11003 (or 10998 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 395748 is about 629.0850498939. The cubic root of 395748 is about 73.4186243626.

It can be divided in two parts, 3957 and 48, that added together give a triangular number (4005 = T₈₉).

The spelling of 395748 in words is "three hundred ninety-five thousand, seven hundred forty-eight".