447763680 has 768 divisors, whose sum is σ = 2072770560. Its totient is φ = 87588864.

The previous prime is 447763661. The next prime is 447763691. The reversal of 447763680 is 86367744.

447763680 is a `hidden beast` number, since 4 + 4 + 7 + 7 + 636 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 6683007 + ... + 6683073.

It is an arithmetic number, because the mean of its divisors is an integer number (2698920).

Almost surely, 2^447763680 is an apocalyptic number.

447763680 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 447763680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036385280).

447763680 is an abundant number, since it is smaller than the sum of its proper divisors (1625006880).

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

447763680 is a wasteful number, since it uses less digits than its factorization.

447763680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 447763680 is about 21160.4272168593. The cubic root of 447763680 is about 765.0379066184.

The spelling of 447763680 in words is "four hundred forty-seven million, seven hundred sixty-three thousand, six hundred eighty".