448477781760 has 432 divisors, whose sum is σ = 1567875333024. Its totient is φ = 118353788928.

The previous prime is 448477781743. The next prime is 448477781783. The reversal of 448477781760 is 67187774844.

It is a happy number.

448477781760 is a `hidden beast` number, since 4 + 484 + 7 + 7 + 7 + 81 + 76 + 0 = 666.

448477781760 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×448477781760² (a number of 24 digits) contains 22 as substring.

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, 611838354 + ... + 611839086.

Almost surely, 2^448477781760 is an apocalyptic number.

448477781760 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 448477781760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783937666512).

448477781760 is an abundant number, since it is smaller than the sum of its proper divisors (1119397551264).

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

448477781760 is a wasteful number, since it uses less digits than its factorization.

448477781760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 59006976, while the sum is 63.

The spelling of 448477781760 in words is "four hundred forty-eight billion, four hundred seventy-seven million, seven hundred eighty-one thousand, seven hundred sixty".