407667 has 8 divisors (see below), whose sum is σ = 585424. Its totient is φ = 250848.

The previous prime is 407657. The next prime is 407669. The reversal of 407667 is 766704.

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

It is not a de Polignac number, because 407667 - 2⁴ = 407651 is a prime.

It is a Duffinian number.

It is a zygodrome in base 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 407667.

It is not an unprimeable number, because it can be changed into a prime (407669) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5188 + ... + 5265.

It is an arithmetic number, because the mean of its divisors is an integer number (73178).

2⁴⁰⁷⁶⁶⁷ is an apocalyptic number.

407667 is a deficient number, since it is larger than the sum of its proper divisors (177757).

407667 is a wasteful number, since it uses less digits than its factorization.

407667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10469.

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 407667 is about 638.4880578366. The cubic root of 407667 is about 74.1484116724.

The spelling of 407667 in words is "four hundred seven thousand, six hundred sixty-seven".