396441 has 8 divisors (see below), whose sum is σ = 587360. Its totient is φ = 264276.

The previous prime is 396437. The next prime is 396443. The reversal of 396441 is 144693.

It is not a de Polignac number, because 396441 - 2² = 396437 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 14683 = 396441 / (3 + 9 + 6 + 4 + 4 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (396443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7315 + ... + 7368.

It is an arithmetic number, because the mean of its divisors is an integer number (73420).

2³⁹⁶⁴⁴¹ is an apocalyptic number.

It is an amenable number.

396441 is a deficient number, since it is larger than the sum of its proper divisors (190919).

396441 is a wasteful number, since it uses less digits than its factorization.

396441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14692 (or 14686 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 396441 is about 629.6356089041. The cubic root of 396441 is about 73.4614541745.

It can be divided in two parts, 3964 and 41, that added together give a triangular number (4005 = T₈₉).

The spelling of 396441 in words is "three hundred ninety-six thousand, four hundred forty-one".