416116 has 12 divisors (see below), whose sum is σ = 760032. Its totient is φ = 198968.

The previous prime is 416107. The next prime is 416147. The reversal of 416116 is 611614.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 416093 and 416102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2170 + ... + 2353.

It is an arithmetic number, because the mean of its divisors is an integer number (63336).

2⁴¹⁶¹¹⁶ is an apocalyptic number.

416116 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

416116 is a deficient number, since it is larger than the sum of its proper divisors (343916).

416116 is a wasteful number, since it uses less digits than its factorization.

416116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4550 (or 4548 counting only the distinct ones).

The product of its digits is 144, while the sum is 19.

The square root of 416116 is about 645.0705387785. The cubic root of 416116 is about 74.6571611340.

The spelling of 416116 in words is "four hundred sixteen thousand, one hundred sixteen".