416116983 has 16 divisors (see below), whose sum is σ = 561052800. Its totient is φ = 274307040.

The previous prime is 416116979. The next prime is 416117003. The reversal of 416116983 is 389611614.

It is not a de Polignac number, because 416116983 - 2² = 416116979 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416116903) by changing a digit.

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, 214528 + ... + 216458.

It is an arithmetic number, because the mean of its divisors is an integer number (35065800).

Almost surely, 2^416116983 is an apocalyptic number.

416116983 is a deficient number, since it is larger than the sum of its proper divisors (144935817).

416116983 is a wasteful number, since it uses less digits than its factorization.

416116983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2702.

The product of its digits is 31104, while the sum is 39.

The square root of 416116983 is about 20398.9456345175. The cubic root of 416116983 is about 746.5721992208.

The spelling of 416116983 in words is "four hundred sixteen million, one hundred sixteen thousand, nine hundred eighty-three".