413000007 has 16 divisors (see below), whose sum is σ = 630988800. Its totient is φ = 235379232.

The previous prime is 412999987. The next prime is 413000053. The reversal of 413000007 is 700000314.

It is not a de Polignac number, because 413000007 - 2⁶ = 412999943 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413000007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413000407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17632 + ... + 33717.

It is an arithmetic number, because the mean of its divisors is an integer number (39436800).

Almost surely, 2^413000007 is an apocalyptic number.

413000007 is a deficient number, since it is larger than the sum of its proper divisors (217988793).

413000007 is a wasteful number, since it uses less digits than its factorization.

413000007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51742.

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 413000007 is about 20322.4016051253. The cubic root of 413000007 is about 744.7034280419.

The spelling of 413000007 in words is "four hundred thirteen million, seven", and thus it is an aban number.