448084000000 has 504 divisors, whose sum is σ = 1377127372544. Its totient is φ = 141696000000.

The previous prime is 448083999971. The next prime is 448084000027. The reversal of 448084000000 is 480844.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 55 ways as a sum of consecutive naturals, for example, 363999385 + ... + 364000615.

Almost surely, 2^448084000000 is an apocalyptic number.

448084000000 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 448084000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688563686272).

448084000000 is an abundant number, since it is smaller than the sum of its proper divisors (929043372544).

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

448084000000 is an frugal number, since it uses more digits than its factorization.

448084000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 448084000000 its reverse (480844), we get a palindrome (448084480844).

The spelling of 448084000000 in words is "four hundred forty-eight billion, eighty-four million", and thus it is an aban number.