448192396960 has 384 divisors, whose sum is σ = 1391477875200. Its totient is φ = 132328734720.

The previous prime is 448192396943. The next prime is 448192396961. The reversal of 448192396960 is 69693291844.

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (448192396961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18924006 + ... + 18947674.

It is an arithmetic number, because the mean of its divisors is an integer number (3623640300).

Almost surely, 2^448192396960 is an apocalyptic number.

448192396960 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 448192396960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695738937600).

448192396960 is an abundant number, since it is smaller than the sum of its proper divisors (943285478240).

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

448192396960 is a wasteful number, since it uses less digits than its factorization.

448192396960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23784 (or 23776 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 61.

The spelling of 448192396960 in words is "four hundred forty-eight billion, one hundred ninety-two million, three hundred ninety-six thousand, nine hundred sixty".