404107007 has 16 divisors (see below), whose sum is σ = 423401472. Its totient is φ = 385339680.

The previous prime is 404107001. The next prime is 404107009. The reversal of 404107007 is 700701404.

It is a cyclic number.

It is not a de Polignac number, because 404107007 - 2¹² = 404102911 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404107001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407282 + ... + 408272.

It is an arithmetic number, because the mean of its divisors is an integer number (26462592).

Almost surely, 2^404107007 is an apocalyptic number.

404107007 is a deficient number, since it is larger than the sum of its proper divisors (19294465).

404107007 is a wasteful number, since it uses less digits than its factorization.

404107007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238.

The product of its (nonzero) digits is 784, while the sum is 23.

The square root of 404107007 is about 20102.4129646170. The cubic root of 404107007 is about 739.3194418684.

The spelling of 404107007 in words is "four hundred four million, one hundred seven thousand, seven".