414101413 has 8 divisors (see below), whose sum is σ = 453045600. Its totient is φ = 375373680.

The previous prime is 414101341. The next prime is 414101431. The reversal of 414101413 is 314101414.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 414101413 - 2¹³ = 414093221 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414101483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50095 + ... + 57772.

It is an arithmetic number, because the mean of its divisors is an integer number (56630700).

Almost surely, 2^414101413 is an apocalyptic number.

It is an amenable number.

414101413 is a deficient number, since it is larger than the sum of its proper divisors (38944187).

414101413 is a wasteful number, since it uses less digits than its factorization.

414101413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108227.

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 414101413 is about 20349.4818852962. The cubic root of 414101413 is about 745.3648426949.

Adding to 414101413 its reverse (314101414), we get a palindrome (728202827).

Subtracting from 414101413 its reverse (314101414), we obtain a palindrome (99999999).

The spelling of 414101413 in words is "four hundred fourteen million, one hundred one thousand, four hundred thirteen".