420874181 has 24 divisors (see below), whose sum is σ = 528547320. Its totient is φ = 332180352.

The previous prime is 420874169. The next prime is 420874183. The reversal of 420874181 is 181478024.

It can be written as a sum of positive squares in 4 ways, for example, as 21473956 + 399400225 = 4634^2 + 19985^2 .

It is not a de Polignac number, because 420874181 - 2¹⁰ = 420873157 is a prime.

It is a super-2 number, since 2×420874181² = 354270152464841522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420874183) 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 23 ways as a sum of consecutive naturals, for example, 507275 + ... + 508103.

It is an arithmetic number, because the mean of its divisors is an integer number (22022805).

Almost surely, 2^420874181 is an apocalyptic number.

It is an amenable number.

420874181 is a deficient number, since it is larger than the sum of its proper divisors (107673139).

420874181 is a wasteful number, since it uses less digits than its factorization.

420874181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 420874181 is about 20515.2182781466. The cubic root of 420874181 is about 749.4064524664.

The spelling of 420874181 in words is "four hundred twenty million, eight hundred seventy-four thousand, one hundred eighty-one".