447919601360 has 160 divisors (see below), whose sum is σ = 1298702592000. Its totient is φ = 139577172480.

The previous prime is 447919601351. The next prime is 447919601387. The reversal of 447919601360 is 63106919744.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 447919601299 and 447919601308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39288941 + ... + 39300339.

It is an arithmetic number, because the mean of its divisors is an integer number (8116891200).

Almost surely, 2^447919601360 is an apocalyptic number.

447919601360 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 447919601360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649351296000).

447919601360 is an abundant number, since it is smaller than the sum of its proper divisors (850782990640).

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

447919601360 is a wasteful number, since it uses less digits than its factorization.

447919601360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17809 (or 17803 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 447919601360 in words is "four hundred forty-seven billion, nine hundred nineteen million, six hundred one thousand, three hundred sixty".