414112104 has 48 divisors (see below), whose sum is σ = 1281777120. Its totient is φ = 118317600.

The previous prime is 414112073. The next prime is 414112121. The reversal of 414112104 is 401211414.

414112104 is a `hidden beast` number, since 41 + 411 + 210 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 410322 + ... + 411329.

It is an arithmetic number, because the mean of its divisors is an integer number (26703690).

Almost surely, 2^414112104 is an apocalyptic number.

It is an amenable number.

414112104 is an abundant number, since it is smaller than the sum of its proper divisors (867665016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

414112104 is a wasteful number, since it uses less digits than its factorization.

414112104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821670 (or 821663 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 414112104 is about 20349.7445684215. The cubic root of 414112104 is about 745.3712570873.

Adding to 414112104 its reverse (401211414), we get a palindrome (815323518).

The spelling of 414112104 in words is "four hundred fourteen million, one hundred twelve thousand, one hundred four".