448964568 has 96 divisors (see below), whose sum is σ = 1351808640. Its totient is φ = 133678080.

The previous prime is 448964567. The next prime is 448964587. The reversal of 448964568 is 865469844.

It is a super-3 number, since 3×448964568³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448964561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21280 + ... + 36752.

It is an arithmetic number, because the mean of its divisors is an integer number (14081340).

Almost surely, 2^448964568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448964568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675904320).

448964568 is an abundant number, since it is smaller than the sum of its proper divisors (902844072).

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

448964568 is a wasteful number, since it uses less digits than its factorization.

448964568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15529 (or 15522 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 448964568 is about 21188.7840141901. The cubic root of 448964568 is about 765.7212319035.

The spelling of 448964568 in words is "four hundred forty-eight million, nine hundred sixty-four thousand, five hundred sixty-eight".