408666180 has 96 divisors (see below), whose sum is σ = 1272112128. Its totient is φ = 97344000.

The previous prime is 408666169. The next prime is 408666197. The reversal of 408666180 is 81666804.

It is a super-3 number, since 3×408666180³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15730 + ... + 32630.

It is an arithmetic number, because the mean of its divisors is an integer number (13251168).

Almost surely, 2^408666180 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 408666180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636056064).

408666180 is an abundant number, since it is smaller than the sum of its proper divisors (863445948).

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

408666180 is a wasteful number, since it uses less digits than its factorization.

408666180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16957 (or 16955 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 408666180 is about 20215.4935631065. The cubic root of 408666180 is about 742.0894078346.

The spelling of 408666180 in words is "four hundred eight million, six hundred sixty-six thousand, one hundred eighty".