420166181 has 8 divisors (see below), whose sum is σ = 435504600. Its totient is φ = 404884480.

The previous prime is 420166177. The next prime is 420166261. The reversal of 420166181 is 181661024.

It can be written as a sum of positive squares in 4 ways, for example, as 64240225 + 355925956 = 8015^2 + 18866^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 420166181 - 2² = 420166177 is a prime.

It is a super-3 number, since 3×420166181³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420166111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1205 + ... + 29013.

It is an arithmetic number, because the mean of its divisors is an integer number (54438075).

Almost surely, 2^420166181 is an apocalyptic number.

It is an amenable number.

420166181 is a deficient number, since it is larger than the sum of its proper divisors (15338419).

420166181 is a wasteful number, since it uses less digits than its factorization.

420166181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28359.

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 420166181 is about 20497.9555321988. The cubic root of 420166181 is about 748.9859961981.

The spelling of 420166181 in words is "four hundred twenty million, one hundred sixty-six thousand, one hundred eighty-one".