448808048400 has 240 divisors, whose sum is σ = 1493667077760. Its totient is φ = 115057152000.

The previous prime is 448808048399. The next prime is 448808048417. The reversal of 448808048400 is 4840808844.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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 448808048400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8080725 + ... + 8136075.

It is an arithmetic number, because the mean of its divisors is an integer number (6223612824).

Almost surely, 2^448808048400 is an apocalyptic number.

448808048400 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 448808048400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (746833538880).

448808048400 is an abundant number, since it is smaller than the sum of its proper divisors (1044859029360).

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

448808048400 is a wasteful number, since it uses less digits than its factorization.

448808048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55634 (or 55623 counting only the distinct ones).

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

The spelling of 448808048400 in words is "four hundred forty-eight billion, eight hundred eight million, forty-eight thousand, four hundred".