408006667 has 8 divisors (see below), whose sum is σ = 416631600. Its totient is φ = 399416160.

The previous prime is 408006649. The next prime is 408006679. The reversal of 408006667 is 766600804.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-408006667 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (408006607) 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, 16084 + ... + 32782.

It is an arithmetic number, because the mean of its divisors is an integer number (52078950).

Almost surely, 2^408006667 is an apocalyptic number.

408006667 is a deficient number, since it is larger than the sum of its proper divisors (8624933).

408006667 is a wasteful number, since it uses less digits than its factorization.

408006667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17213.

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 408006667 is about 20199.1749088917. The cubic root of 408006667 is about 741.6899937171.

The spelling of 408006667 in words is "four hundred eight million, six thousand, six hundred sixty-seven".