414116 has 6 divisors (see below), whose sum is σ = 724710. Its totient is φ = 207056.

The previous prime is 414109. The next prime is 414131. The reversal of 414116 is 611414.

It can be written as a sum of positive squares in only one way, i.e., 246016 + 168100 = 496^2 + 410^2 .

It is a super-2 number, since 2×414116² = 342984122912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 414094 and 414103.

It is an unprimeable number.

414116 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51761 + ... + 51768.

It is an arithmetic number, because the mean of its divisors is an integer number (120785).

2⁴¹⁴¹¹⁶ is an apocalyptic number.

It is an amenable number.

414116 is a deficient number, since it is larger than the sum of its proper divisors (310594).

414116 is a wasteful number, since it uses less digits than its factorization.

414116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103533 (or 103531 counting only the distinct ones).

The product of its digits is 96, while the sum is 17.

The square root of 414116 is about 643.5184535039. The cubic root of 414116 is about 74.5373594584.

The spelling of 414116 in words is "four hundred fourteen thousand, one hundred sixteen".