448244160 has 336 divisors, whose sum is σ = 1785311136. Its totient is φ = 94445568.

The previous prime is 448244107. The next prime is 448244177. The reversal of 448244160 is 61442844.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611154 + ... + 611886.

It is an arithmetic number, because the mean of its divisors is an integer number (5313426).

Almost surely, 2^448244160 is an apocalyptic number.

448244160 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 448244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892655568).

448244160 is an abundant number, since it is smaller than the sum of its proper divisors (1337066976).

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

448244160 is a wasteful number, since it uses less digits than its factorization.

448244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 448244160 is about 21171.7774407346. Note that the first 3 decimals coincide. The cubic root of 448244160 is about 765.3114541964.

It can be divided in two parts, 44824 and 4160, that added together give a palindrome (48984).

The spelling of 448244160 in words is "four hundred forty-eight million, two hundred forty-four thousand, one hundred sixty".