419666085 has 12 divisors (see below), whose sum is σ = 727421292. Its totient is φ = 223821888.

The previous prime is 419666081. The next prime is 419666089. The reversal of 419666085 is 580666914.

It is an interprime number because it is at equal distance from previous prime (419666081) and next prime (419666089).

It can be written as a sum of positive squares in 2 ways, for example, as 233998209 + 185667876 = 15297^2 + 13626^2 .

It is not a de Polignac number, because 419666085 - 2² = 419666081 is a prime.

It is a super-2 number, since 2×419666085² = 352239245798454450, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 9325913 = 419666085 / (4 + 1 + 9 + 6 + 6 + 6 + 0 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 419666085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419666081) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4662912 + ... + 4663001.

It is an arithmetic number, because the mean of its divisors is an integer number (60618441).

Almost surely, 2^419666085 is an apocalyptic number.

419666085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

419666085 is a deficient number, since it is larger than the sum of its proper divisors (307755207).

419666085 is a wasteful number, since it uses less digits than its factorization.

419666085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9325924 (or 9325921 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 419666085 is about 20485.7532202260. The cubic root of 419666085 is about 748.6887220697.

The spelling of 419666085 in words is "four hundred nineteen million, six hundred sixty-six thousand, eighty-five".