406771 has 8 divisors (see below), whose sum is σ = 435200. Its totient is φ = 379080.

The previous prime is 406739. The next prime is 406789. The reversal of 406771 is 177604.

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

It is a 6-Lehmer number, since φ(406771) divides (406771-1)⁶.

It is a cyclic number.

It is not a de Polignac number, because 406771 - 2⁵ = 406739 is a prime.

It is a Duffinian number.

406771 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (406171) 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, 1366 + ... + 1636.

It is an arithmetic number, because the mean of its divisors is an integer number (54400).

2⁴⁰⁶⁷⁷¹ is an apocalyptic number.

406771 is a deficient number, since it is larger than the sum of its proper divisors (28429).

406771 is a wasteful number, since it uses less digits than its factorization.

406771 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369.

The product of its (nonzero) digits is 1176, while the sum is 25.

The square root of 406771 is about 637.7860142712. The cubic root of 406771 is about 74.0940489125.

The spelling of 406771 in words is "four hundred six thousand, seven hundred seventy-one".