414114985 has 8 divisors (see below), whose sum is σ = 526169736. Its totient is φ = 311804160.

The previous prime is 414114929. The next prime is 414114991. The reversal of 414114985 is 589411414.

It can be written as a sum of positive squares in 4 ways, for example, as 50183056 + 363931929 = 7084^2 + 19077^2 .

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

It is a de Polignac number, because none of the positive numbers 2^k-414114985 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2435886 + ... + 2436055.

It is an arithmetic number, because the mean of its divisors is an integer number (65771217).

Almost surely, 2^414114985 is an apocalyptic number.

It is an amenable number.

414114985 is a deficient number, since it is larger than the sum of its proper divisors (112054751).

414114985 is a wasteful number, since it uses less digits than its factorization.

414114985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4871963.

The product of its digits is 23040, while the sum is 37.

The square root of 414114985 is about 20349.8153554277. The cubic root of 414114985 is about 745.3729856125.

The spelling of 414114985 in words is "four hundred fourteen million, one hundred fourteen thousand, nine hundred eighty-five".