395392 has 16 divisors (see below), whose sum is σ = 787950. Its totient is φ = 197632.

The previous prime is 395383. The next prime is 395407. The reversal of 395392 is 293593.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 141376 = 504^2 + 376^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is an Ulam number.

It is an unprimeable number.

395392 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 as a sum of consecutive naturals, namely, 1417 + ... + 1672.

2³⁹⁵³⁹² is an apocalyptic number.

395392 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

395392 is a deficient number, since it is larger than the sum of its proper divisors (392558).

395392 is an equidigital number, since it uses as much as digits as its factorization.

395392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3103 (or 3091 counting only the distinct ones).

The product of its digits is 7290, while the sum is 31.

The square root of 395392 is about 628.8020356201. The cubic root of 395392 is about 73.3966028814.

It can be divided in two parts, 395 and 392, that added together give a palindrome (787).

The spelling of 395392 in words is "three hundred ninety-five thousand, three hundred ninety-two".