4811180 has 48 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 1656000.

The previous prime is 4811171. The next prime is 4811189. The reversal of 4811180 is 811184.

It is an interprime number because it is at equal distance from previous prime (4811171) and next prime (4811189).

It is not an unprimeable number, because it can be changed into a prime (4811189) 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 15 ways as a sum of consecutive naturals, for example, 3605 + ... + 4755.

It is an arithmetic number, because the mean of its divisors is an integer number (241920).

Almost surely, 2^4811180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4811180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

4811180 is an abundant number, since it is smaller than the sum of its proper divisors (6800980).

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

4811180 is a wasteful number, since it uses less digits than its factorization.

4811180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 23.

The square root of 4811180 is about 2193.4402202932. The cubic root of 4811180 is about 168.8173978609.

It can be divided in two parts, 481 and 1180, that added together give a palindrome (1661).

The spelling of 4811180 in words is "four million, eight hundred eleven thousand, one hundred eighty".