413415107 has 24 divisors (see below), whose sum is σ = 488189952. Its totient is φ = 349045200.

The previous prime is 413415077. The next prime is 413415109. The reversal of 413415107 is 701514314.

It is not a de Polignac number, because 413415107 - 2¹⁶ = 413349571 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413415109) 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 23 ways as a sum of consecutive naturals, for example, 1525382 + ... + 1525652.

It is an arithmetic number, because the mean of its divisors is an integer number (20341248).

Almost surely, 2^413415107 is an apocalyptic number.

413415107 is a deficient number, since it is larger than the sum of its proper divisors (74774845).

413415107 is a wasteful number, since it uses less digits than its factorization.

413415107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 413415107 is about 20332.6119079670. The cubic root of 413415107 is about 744.9528411811.

The spelling of 413415107 in words is "four hundred thirteen million, four hundred fifteen thousand, one hundred seven".