406908180 has 288 divisors, whose sum is σ = 1551513600. Its totient is φ = 84167424.

The previous prime is 406908167. The next prime is 406908181. The reversal of 406908180 is 81809604.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406908181) 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 95 ways as a sum of consecutive naturals, for example, 550251 + ... + 550989.

It is an arithmetic number, because the mean of its divisors is an integer number (5387200).

Almost surely, 2^406908180 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 406908180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775756800).

406908180 is an abundant number, since it is smaller than the sum of its proper divisors (1144605420).

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

406908180 is a wasteful number, since it uses less digits than its factorization.

406908180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 406908180 is about 20171.9651992561. The cubic root of 406908180 is about 741.0237716863.

The spelling of 406908180 in words is "four hundred six million, nine hundred eight thousand, one hundred eighty".