448868460 has 192 divisors, whose sum is σ = 1378944000. Its totient is φ = 108776448.

The previous prime is 448868417. The next prime is 448868473. The reversal of 448868460 is 64868844.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3012466 + ... + 3012614.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^448868460 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 448868460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

448868460 is an abundant number, since it is smaller than the sum of its proper divisors (930075540).

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

448868460 is a wasteful number, since it uses less digits than its factorization.

448868460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 48.

The square root of 448868460 is about 21186.5159948492. The cubic root of 448868460 is about 765.6665897385. Note that the first 3 decimals are identical.

The spelling of 448868460 in words is "four hundred forty-eight million, eight hundred sixty-eight thousand, four hundred sixty".