407007 has 12 divisors (see below), whose sum is σ = 602784. Its totient is φ = 264480.

The previous prime is 406993. The next prime is 407023. The reversal of 407007 is 700704.

It is not a de Polignac number, because 407007 - 2¹¹ = 404959 is a prime.

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 407007.

It is not an unprimeable number, because it can be changed into a prime (407047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 183 + ... + 920.

It is an arithmetic number, because the mean of its divisors is an integer number (50232).

2⁴⁰⁷⁰⁰⁷ is an apocalyptic number.

407007 is a deficient number, since it is larger than the sum of its proper divisors (195777).

407007 is a wasteful number, since it uses less digits than its factorization.

407007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 196, while the sum is 18.

The square root of 407007 is about 637.9710024758. The cubic root of 407007 is about 74.1083754131.

The spelling of 407007 in words is "four hundred seven thousand, seven", and thus it is an iban number.