448656768 has 384 divisors, whose sum is σ = 1603929600. Its totient is φ = 117596160.

The previous prime is 448656751. The next prime is 448656781. The reversal of 448656768 is 867656844.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (7741440) is a multiple of the sum of its prime divisors (135).

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, 7604323 + ... + 7604381.

It is an arithmetic number, because the mean of its divisors is an integer number (4176900).

Almost surely, 2^448656768 is an apocalyptic number.

448656768 is a gapful number since it is divisible by the number (48) 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 448656768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801964800).

448656768 is an abundant number, since it is smaller than the sum of its proper divisors (1155272832).

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

448656768 is a wasteful number, since it uses less digits than its factorization.

448656768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 135 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The square root of 448656768 is about 21181.5194922366. The cubic root of 448656768 is about 765.5462048200.

The spelling of 448656768 in words is "four hundred forty-eight million, six hundred fifty-six thousand, seven hundred sixty-eight".