413002107 has 48 divisors (see below), whose sum is σ = 726485760. Its totient is φ = 220833216.

The previous prime is 413002081. The next prime is 413002111. The reversal of 413002107 is 701200314.

It is not a de Polignac number, because 413002107 - 2¹⁶ = 412936571 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 413002107.

It is not an unprimeable number, because it can be changed into a prime (413002127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97273 + ... + 101429.

It is an arithmetic number, because the mean of its divisors is an integer number (15135120).

Almost surely, 2^413002107 is an apocalyptic number.

413002107 is a deficient number, since it is larger than the sum of its proper divisors (313483653).

413002107 is a wasteful number, since it uses less digits than its factorization.

413002107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 413002107 is about 20322.4532721815. The cubic root of 413002107 is about 744.7046902489.

The spelling of 413002107 in words is "four hundred thirteen million, two thousand, one hundred seven".