414089106 has 32 divisors (see below), whose sum is σ = 857677248. Its totient is φ = 133199040.

The previous prime is 414089083. The next prime is 414089119. The reversal of 414089106 is 601980414.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8725 + ... + 30071.

It is an arithmetic number, because the mean of its divisors is an integer number (26802414).

Almost surely, 2^414089106 is an apocalyptic number.

414089106 is an abundant number, since it is smaller than the sum of its proper divisors (443588142).

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

414089106 is a wasteful number, since it uses less digits than its factorization.

414089106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21466.

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 414089106 is about 20349.1794920582. The cubic root of 414089106 is about 745.3574585971.

The spelling of 414089106 in words is "four hundred fourteen million, eighty-nine thousand, one hundred six".