447863080320 has 288 divisors, whose sum is σ = 1616702003280. Its totient is φ = 114236762112.

The previous prime is 447863080289. The next prime is 447863080321. The reversal of 447863080320 is 23080368744.

447863080320 is a `hidden beast` number, since 4 + 4 + 7 + 8 + 630 + 8 + 0 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447863080321) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2973549 + ... + 3120531.

Almost surely, 2^447863080320 is an apocalyptic number.

447863080320 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 447863080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808351001640).

447863080320 is an abundant number, since it is smaller than the sum of its proper divisors (1168838922960).

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

447863080320 is a wasteful number, since it uses less digits than its factorization.

447863080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147054 (or 147016 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 447863080320 in words is "four hundred forty-seven billion, eight hundred sixty-three million, eighty thousand, three hundred twenty".