447727420800 has 1152 divisors, whose sum is σ = 1862200454400. Its totient is φ = 101335449600.

The previous prime is 447727420793. The next prime is 447727420883. The reversal of 447727420800 is 8024727744.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 313314486 + ... + 313315914.

It is an arithmetic number, because the mean of its divisors is an integer number (1616493450).

Almost surely, 2^447727420800 is an apocalyptic number.

447727420800 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 447727420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931100227200).

447727420800 is an abundant number, since it is smaller than the sum of its proper divisors (1414473033600).

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

447727420800 is a wasteful number, since it uses less digits than its factorization.

447727420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 447727420800 in words is "four hundred forty-seven billion, seven hundred twenty-seven million, four hundred twenty thousand, eight hundred".