448984166400 has 3120 divisors, whose sum is σ = 2241655215360. Its totient is φ = 85996339200.

The previous prime is 448984166369. The next prime is 448984166401. The reversal of 448984166400 is 4661489844.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448984166401) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12134707182 + ... + 12134707218.

Almost surely, 2^448984166400 is an apocalyptic number.

448984166400 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 448984166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120827607680).

448984166400 is an abundant number, since it is smaller than the sum of its proper divisors (1792671048960).

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

448984166400 is a wasteful number, since it uses less digits than its factorization.

448984166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 448984166400 in words is "four hundred forty-eight billion, nine hundred eighty-four million, one hundred sixty-six thousand, four hundred".