406657 has 8 divisors (see below), whose sum is σ = 453600. Its totient is φ = 362304.

The previous prime is 406649. The next prime is 406661. The reversal of 406657 is 756604.

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

It is not a de Polignac number, because 406657 - 2³ = 406649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (406697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307 + ... + 952.

It is an arithmetic number, because the mean of its divisors is an integer number (56700).

2⁴⁰⁶⁶⁵⁷ is an apocalyptic number.

It is an amenable number.

406657 is a deficient number, since it is larger than the sum of its proper divisors (46943).

406657 is a wasteful number, since it uses less digits than its factorization.

406657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295.

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 406657 is about 637.6966363405. The cubic root of 406657 is about 74.0871264993.

The spelling of 406657 in words is "four hundred six thousand, six hundred fifty-seven".