447880551552 has 512 divisors, whose sum is σ = 1604477952000. Its totient is φ = 120144052224.

The previous prime is 447880551541. The next prime is 447880551553. The reversal of 447880551552 is 255155088744.

447880551552 is a `hidden beast` number, since 4 + 4 + 7 + 8 + 80 + 5 + 5 + 1 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (447880551553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51935913 + ... + 51944535.

It is an arithmetic number, because the mean of its divisors is an integer number (3133746000).

Almost surely, 2^447880551552 is an apocalyptic number.

447880551552 is a gapful number since it is divisible by the number (42) 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 447880551552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802238976000).

447880551552 is an abundant number, since it is smaller than the sum of its proper divisors (1156597400448).

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

447880551552 is a wasteful number, since it uses less digits than its factorization.

447880551552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8785 (or 8767 counting only the distinct ones).

The product of its (nonzero) digits is 8960000, while the sum is 54.

The spelling of 447880551552 in words is "four hundred forty-seven billion, eight hundred eighty million, five hundred fifty-one thousand, five hundred fifty-two".