406682180 has 48 divisors (see below), whose sum is σ = 883975680. Its totient is φ = 156998400.

The previous prime is 406682179. The next prime is 406682183. The reversal of 406682180 is 81286604.

406682180 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 406682180.

It is not an unprimeable number, because it can be changed into a prime (406682183) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322391 + ... + 323649.

It is an arithmetic number, because the mean of its divisors is an integer number (18416160).

Almost surely, 2^406682180 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 406682180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441987840).

406682180 is an abundant number, since it is smaller than the sum of its proper divisors (477293500).

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

406682180 is a wasteful number, since it uses less digits than its factorization.

406682180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1818 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 406682180 is about 20166.3625872392. The cubic root of 406682180 is about 740.8865561381.

The spelling of 406682180 in words is "four hundred six million, six hundred eighty-two thousand, one hundred eighty".