414101415 has 32 divisors (see below), whose sum is σ = 815463936. Its totient is φ = 174741120.

The previous prime is 414101341. The next prime is 414101431. The reversal of 414101415 is 514101414.

It is not a de Polignac number, because 414101415 - 2⁷ = 414101287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 414101391 and 414101400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150321 + ... + 153050.

It is an arithmetic number, because the mean of its divisors is an integer number (25483248).

Almost surely, 2^414101415 is an apocalyptic number.

414101415 is a deficient number, since it is larger than the sum of its proper divisors (401362521).

414101415 is a wasteful number, since it uses less digits than its factorization.

414101415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303399.

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 414101415 is about 20349.4819344375. The cubic root of 414101415 is about 745.3648438948.

Adding to 414101415 its reverse (514101414), we get a palindrome (928202829).

Subtracting 414101415 from its reverse (514101414), we obtain a palindrome (99999999).

The spelling of 414101415 in words is "four hundred fourteen million, one hundred one thousand, four hundred fifteen".