408084884000 has 96 divisors (see below), whose sum is σ = 1002927861936. Its totient is φ = 163191091200.

The previous prime is 408084883963. The next prime is 408084884003. The reversal of 408084884000 is 488480804.

It can be written as a sum of positive squares in 8 ways, for example, as 16344088336 + 391740795664 = 127844^2 + 625892^2 .

It is not an unprimeable number, because it can be changed into a prime (408084884003) 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, 18376904 + ... + 18399096.

Almost surely, 2^408084884000 is an apocalyptic number.

408084884000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 408084884000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501463930968).

408084884000 is an abundant number, since it is smaller than the sum of its proper divisors (594842977936).

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

408084884000 is a wasteful number, since it uses less digits than its factorization.

408084884000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26815 (or 26797 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 44.

The spelling of 408084884000 in words is "four hundred eight billion, eighty-four million, eight hundred eighty-four thousand".