408808444800 has 384 divisors, whose sum is σ = 1541194214400. Its totient is φ = 93300940800.

The previous prime is 408808444747. The next prime is 408808444801. The reversal of 408808444800 is 8444808804.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 408808444800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (408808444801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48312570 + ... + 48321030.

It is an arithmetic number, because the mean of its divisors is an integer number (4013526600).

Almost surely, 2^408808444800 is an apocalyptic number.

408808444800 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 408808444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770597107200).

408808444800 is an abundant number, since it is smaller than the sum of its proper divisors (1132385769600).

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

408808444800 is a wasteful number, since it uses less digits than its factorization.

408808444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9214 (or 9197 counting only the distinct ones).

The product of its (nonzero) digits is 1048576, while the sum is 48.

The spelling of 408808444800 in words is "four hundred eight billion, eight hundred eight million, four hundred forty-four thousand, eight hundred".