405417 has 8 divisors (see below), whose sum is σ = 548896. Its totient is φ = 266112.

The previous prime is 405413. The next prime is 405437. The reversal of 405417 is 714504.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 405417 - 2² = 405413 is a prime.

It is a Duffinian number.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 405393 and 405402.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 405417.

It is not an unprimeable number, because it can be changed into a prime (405413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808 + ... + 1209.

It is an arithmetic number, because the mean of its divisors is an integer number (68612).

2⁴⁰⁵⁴¹⁷ is an apocalyptic number.

It is an amenable number.

405417 is a deficient number, since it is larger than the sum of its proper divisors (143479).

405417 is a wasteful number, since it uses less digits than its factorization.

405417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087.

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 405417 is about 636.7236449198. The cubic root of 405417 is about 74.0117463701.

The spelling of 405417 in words is "four hundred five thousand, four hundred seventeen".