396752 has 20 divisors (see below), whose sum is σ = 778596. Its totient is φ = 195840.

The previous prime is 396733. The next prime is 396833. The reversal of 396752 is 257693.

396752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 87616 + 309136 = 296^2 + 556^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396752.

It is an unprimeable number.

396752 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 3 ways as a sum of consecutive naturals, for example, 2102 + ... + 2282.

2³⁹⁶⁷⁵² is an apocalyptic number.

It is an amenable number.

396752 is a deficient number, since it is larger than the sum of its proper divisors (381844).

396752 is a wasteful number, since it uses less digits than its factorization.

396752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 320 counting only the distinct ones).

The product of its digits is 11340, while the sum is 32.

The square root of 396752 is about 629.8825287306. The cubic root of 396752 is about 73.4806588318.

It can be divided in two parts, 396 and 752, that multiplied together give a palindrome (297792).

The spelling of 396752 in words is "three hundred ninety-six thousand, seven hundred fifty-two".