406007 has 8 divisors (see below), whose sum is σ = 479232. Its totient is φ = 336600.

The previous prime is 405997. The next prime is 406013. The reversal of 406007 is 700604.

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 406007 - 2⁴ = 405991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 406007.

It is not an unprimeable number, because it can be changed into a prime (406027) 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, 719 + ... + 1152.

It is an arithmetic number, because the mean of its divisors is an integer number (59904).

2⁴⁰⁶⁰⁰⁷ is an apocalyptic number.

406007 is a deficient number, since it is larger than the sum of its proper divisors (73225).

406007 is a wasteful number, since it uses less digits than its factorization.

406007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1909.

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 406007 is about 637.1867858015. The cubic root of 406007 is about 74.0476318614.

The spelling of 406007 in words is "four hundred six thousand, seven".