416117477 has 2 divisors, whose sum is σ = 416117478. Its totient is φ = 416117476.

The previous prime is 416117473. The next prime is 416117479. The reversal of 416117477 is 774711614.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 334377796 + 81739681 = 18286^2 + 9041^2 .

It is a cyclic number.

It is not a de Polignac number, because 416117477 - 2² = 416117473 is a prime.

Together with 416117479, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416117477.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416117473) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208058738 + 208058739.

It is an arithmetic number, because the mean of its divisors is an integer number (208058739).

Almost surely, 2^416117477 is an apocalyptic number.

It is an amenable number.

416117477 is a deficient number, since it is larger than the sum of its proper divisors (1).

416117477 is an equidigital number, since it uses as much as digits as its factorization.

416117477 is an evil number, because the sum of its binary digits is even.

The product of its digits is 32928, while the sum is 38.

The square root of 416117477 is about 20398.9577429829. The cubic root of 416117477 is about 746.5724946558.

The spelling of 416117477 in words is "four hundred sixteen million, one hundred seventeen thousand, four hundred seventy-seven".