413014017 has 32 divisors (see below), whose sum is σ = 612642688. Its totient is φ = 245846016.

The previous prime is 413013977. The next prime is 413014061. The reversal of 413014017 is 710410314.

It is not a de Polignac number, because 413014017 - 2⁷ = 413013889 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 413013984 and 413014002.

It is not an unprimeable number, because it can be changed into a prime (413014067) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277758 + ... + 279240.

It is an arithmetic number, because the mean of its divisors is an integer number (19145084).

Almost surely, 2^413014017 is an apocalyptic number.

It is an amenable number.

413014017 is a deficient number, since it is larger than the sum of its proper divisors (199628671).

413014017 is a wasteful number, since it uses less digits than its factorization.

413014017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729.

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 413014017 is about 20322.7462957151. The cubic root of 413014017 is about 744.7118486850.

The spelling of 413014017 in words is "four hundred thirteen million, fourteen thousand, seventeen".