448996776480 has 432 divisors, whose sum is σ = 1848377905920. Its totient is φ = 102627399168.

The previous prime is 448996776461. The next prime is 448996776497. The reversal of 448996776480 is 84677699844.

448996776480 is a `hidden beast` number, since 4 + 4 + 89 + 9 + 67 + 7 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 448996776399 and 448996776408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1787281 + ... + 2022959.

It is an arithmetic number, because the mean of its divisors is an integer number (4278652560).

Almost surely, 2^448996776480 is an apocalyptic number.

448996776480 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 448996776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924188952960).

448996776480 is an abundant number, since it is smaller than the sum of its proper divisors (1399381129440).

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

448996776480 is a wasteful number, since it uses less digits than its factorization.

448996776480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235723 (or 235696 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 448996776480 in words is "four hundred forty-eight billion, nine hundred ninety-six million, seven hundred seventy-six thousand, four hundred eighty".