408667 has 8 divisors (see below), whose sum is σ = 473600. Its totient is φ = 345384.

The previous prime is 408659. The next prime is 408677. The reversal of 408667 is 766804.

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

It is a cyclic number.

It is not a de Polignac number, because 408667 - 2³ = 408659 is a prime.

It is an Ulam number.

It is a Duffinian number.

408667 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (408607) 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, 184 + ... + 922.

It is an arithmetic number, because the mean of its divisors is an integer number (59200).

2⁴⁰⁸⁶⁶⁷ is an apocalyptic number.

408667 is a deficient number, since it is larger than the sum of its proper divisors (64933).

408667 is an equidigital number, since it uses as much as digits as its factorization.

408667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 408667 is about 639.2706781951. The cubic root of 408667 is about 74.2089904175.

The spelling of 408667 in words is "four hundred eight thousand, six hundred sixty-seven".