405441 has 12 divisors (see below), whose sum is σ = 616720. Its totient is φ = 255960.

The previous prime is 405439. The next prime is 405473. The reversal of 405441 is 144504.

It is not a de Polignac number, because 405441 - 2¹ = 405439 is a prime.

It is a Duffinian number.

405441 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405441.

It is not an unprimeable number, because it can be changed into a prime (405401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1015 + ... + 1356.

2⁴⁰⁵⁴⁴¹ is an apocalyptic number.

It is an amenable number.

405441 is a deficient number, since it is larger than the sum of its proper divisors (211279).

405441 is a wasteful number, since it uses less digits than its factorization.

405441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2396 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 405441 is about 636.7424911218. The cubic root of 405441 is about 74.0132067979.

Adding to 405441 its reverse (144504), we get a palindrome (549945).

It can be divided in two parts, 4054 and 41, that added together give a triangular number (4095 = T₉₀).

The spelling of 405441 in words is "four hundred five thousand, four hundred forty-one".