448378560 has 336 divisors, whose sum is σ = 1841089536. Its totient is φ = 97929216.

The previous prime is 448378531. The next prime is 448378571. The reversal of 448378560 is 65873844.

448378560 is a `hidden beast` number, since 4 + 4 + 83 + 7 + 8 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 463197 + ... + 464163.

Almost surely, 2^448378560 is an apocalyptic number.

448378560 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 448378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920544768).

448378560 is an abundant number, since it is smaller than the sum of its proper divisors (1392710976).

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

448378560 is a wasteful number, since it uses less digits than its factorization.

448378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 448378560 is about 21174.9512396133. The cubic root of 448378560 is about 765.3879360116.

The spelling of 448378560 in words is "four hundred forty-eight million, three hundred seventy-eight thousand, five hundred sixty".