448975968 has 96 divisors (see below), whose sum is σ = 1350913536. Its totient is φ = 127899648.

The previous prime is 448975949. The next prime is 448975981. The reversal of 448975968 is 869579844.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290205 + ... + 291747.

It is an arithmetic number, because the mean of its divisors is an integer number (14072016).

Almost surely, 2^448975968 is an apocalyptic number.

448975968 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 448975968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675456768).

448975968 is an abundant number, since it is smaller than the sum of its proper divisors (901937568).

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

448975968 is a wasteful number, since it uses less digits than its factorization.

448975968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1988 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 60.

The square root of 448975968 is about 21189.0530227285. The cubic root of 448975968 is about 765.7277128516.

The spelling of 448975968 in words is "four hundred forty-eight million, nine hundred seventy-five thousand, nine hundred sixty-eight".