404448488400 has 480 divisors, whose sum is σ = 1496163525120. Its totient is φ = 92461824000.

The previous prime is 404448488377. The next prime is 404448488459. The reversal of 404448488400 is 4884844404.

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 404448488400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16448115 + ... + 16472685.

It is an arithmetic number, because the mean of its divisors is an integer number (3117007344).

Almost surely, 2^404448488400 is an apocalyptic number.

404448488400 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 404448488400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748081762560).

404448488400 is an abundant number, since it is smaller than the sum of its proper divisors (1091715036720).

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

404448488400 is a wasteful number, since it uses less digits than its factorization.

404448488400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24675 (or 24664 counting only the distinct ones).

The product of its (nonzero) digits is 2097152, while the sum is 48.

The spelling of 404448488400 in words is "four hundred four billion, four hundred forty-eight million, four hundred eighty-eight thousand, four hundred".