448262976000 has 1920 divisors, whose sum is σ = 1886253557760. Its totient is φ = 93929472000.

The previous prime is 448262975977. The next prime is 448262976019. The reversal of 448262976000 is 679262844.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8457791974 + ... + 8457792026.

It is an arithmetic number, because the mean of its divisors is an integer number (982423728).

Almost surely, 2^448262976000 is an apocalyptic number.

448262976000 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 448262976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (943126778880).

448262976000 is an abundant number, since it is smaller than the sum of its proper divisors (1437990581760).

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

448262976000 is a wasteful number, since it uses less digits than its factorization.

448262976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 448262976000 in words is "four hundred forty-eight billion, two hundred sixty-two million, nine hundred seventy-six thousand".