447456303360 has 1152 divisors, whose sum is σ = 1797097881600. Its totient is φ = 104491745280.

The previous prime is 447456303353. The next prime is 447456303361. The reversal of 447456303360 is 63303654744.

447456303360 is a `hidden beast` number, since 4 + 4 + 7 + 4 + 5 + 630 + 3 + 3 + 6 + 0 = 666.

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 not an unprimeable number, because it can be changed into a prime (447456303361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1411533922 + ... + 1411534238.

It is an arithmetic number, because the mean of its divisors is an integer number (1559980800).

Almost surely, 2^447456303360 is an apocalyptic number.

447456303360 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 447456303360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898548940800).

447456303360 is an abundant number, since it is smaller than the sum of its proper divisors (1349641578240).

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

447456303360 is a wasteful number, since it uses less digits than its factorization.

447456303360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 447456303360 in words is "four hundred forty-seven billion, four hundred fifty-six million, three hundred three thousand, three hundred sixty".