413058601 has 16 divisors (see below), whose sum is σ = 434291200. Its totient is φ = 392376960.

The previous prime is 413058599. The next prime is 413058619. The reversal of 413058601 is 106850314.

It is a 3-Lehmer number, since φ(413058601) divides (413058601-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 413058601 - 2¹ = 413058599 is a prime.

It is a deceptive number, since it divides R_413058600.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413058601.

It is not an unprimeable number, because it can be changed into a prime (413050601) 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, 789526 + ... + 790048.

It is an arithmetic number, because the mean of its divisors is an integer number (27143200).

It is a Poulet number, since it divides 2^413058600-1.

Almost surely, 2^413058601 is an apocalyptic number.

It is an amenable number.

413058601 is a deficient number, since it is larger than the sum of its proper divisors (21232599).

413058601 is a wasteful number, since it uses less digits than its factorization.

413058601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 413058601 is about 20323.8431651103. The cubic root of 413058601 is about 744.7386444168.

It can be divided in two parts, 4 and 13058601, that added together give a triangular number (13058605 = T₅₁₁₀).

The spelling of 413058601 in words is "four hundred thirteen million, fifty-eight thousand, six hundred one".