408972168 has 96 divisors (see below), whose sum is σ = 1231251840. Its totient is φ = 121580160.

The previous prime is 408972167. The next prime is 408972203. The reversal of 408972168 is 861279804.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (408972163) 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 23 ways as a sum of consecutive naturals, for example, 37105 + ... + 46847.

It is an arithmetic number, because the mean of its divisors is an integer number (12825540).

Almost surely, 2^408972168 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 408972168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615625920).

408972168 is an abundant number, since it is smaller than the sum of its proper divisors (822279672).

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

408972168 is a wasteful number, since it uses less digits than its factorization.

408972168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9819 (or 9812 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 408972168 is about 20223.0603025358. The cubic root of 408972168 is about 742.2745742904.

The spelling of 408972168 in words is "four hundred eight million, nine hundred seventy-two thousand, one hundred sixty-eight".