472008180 has 144 divisors (see below), whose sum is σ = 1547634816. Its totient is φ = 107170560.

The previous prime is 472008167. The next prime is 472008193. The reversal of 472008180 is 81800274.

It is an interprime number because it is at equal distance from previous prime (472008167) and next prime (472008193).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 531697 + ... + 532583.

It is an arithmetic number, because the mean of its divisors is an integer number (10747464).

Almost surely, 2^472008180 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 472008180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773817408).

472008180 is an abundant number, since it is smaller than the sum of its proper divisors (1075626636).

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

472008180 is a wasteful number, since it uses less digits than its factorization.

472008180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 472008180 is about 21725.7492390941. The cubic root of 472008180 is about 778.6037809892.

The spelling of 472008180 in words is "four hundred seventy-two million, eight thousand, one hundred eighty".