406417 has 4 divisors (see below), whose sum is σ = 443376. Its totient is φ = 369460.

The previous prime is 406403. The next prime is 406423. The reversal of 406417 is 714604.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 406417 - 2¹⁵ = 373649 is a prime.

It is a Duffinian number.

406417 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (406447) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18463 + ... + 18484.

It is an arithmetic number, because the mean of its divisors is an integer number (110844).

2⁴⁰⁶⁴¹⁷ is an apocalyptic number.

It is an amenable number.

406417 is a deficient number, since it is larger than the sum of its proper divisors (36959).

406417 is a wasteful number, since it uses less digits than its factorization.

406417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36958.

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 406417 is about 637.5084313168. The cubic root of 406417 is about 74.0725487680.

The spelling of 406417 in words is "four hundred six thousand, four hundred seventeen".