4000180 has 12 divisors (see below), whose sum is σ = 8400420. Its totient is φ = 1600064.

The previous prime is 4000169. The next prime is 4000189. The reversal of 4000180 is 810004.

4000180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 767376 + 3232804 = 876^2 + 1798^2 .

4000180 is a modest number, since divided by 180 gives 40 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 4000180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 99985 + ... + 100024.

It is an arithmetic number, because the mean of its divisors is an integer number (700035).

Almost surely, 2^4000180 is an apocalyptic number.

It is an amenable number.

4000180 is an abundant number, since it is smaller than the sum of its proper divisors (4400240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4000180 is a wasteful number, since it uses less digits than its factorization.

4000180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200018 (or 200016 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 4000180 is about 2000.0449994938. The cubic root of 4000180 is about 158.7424862627.

Adding to 4000180 its reverse (810004), we get a palindrome (4810184).

The spelling of 4000180 in words is "four million, one hundred eighty", and thus it is an aban number.