206448414480 has 480 divisors, whose sum is σ = 867750174720. Its totient is φ = 42732241920.

The previous prime is 206448414433. The next prime is 206448414541. The reversal of 206448414480 is 84414844602.

206448414480 is a `hidden beast` number, since 20 + 6 + 4 + 484 + 144 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14573641 + ... + 14587799.

It is an arithmetic number, because the mean of its divisors is an integer number (1807812864).

Almost surely, 2^206448414480 is an apocalyptic number.

206448414480 is a gapful number since it is divisible by the number (20) 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 206448414480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433875087360).

206448414480 is an abundant number, since it is smaller than the sum of its proper divisors (661301760240).

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

206448414480 is a wasteful number, since it uses less digits than its factorization.

206448414480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14459 (or 14450 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 206448414480 in words is "two hundred six billion, four hundred forty-eight million, four hundred fourteen thousand, four hundred eighty".