447975414432 has 576 divisors, whose sum is σ = 1638207777024. Its totient is φ = 117259591680.

The previous prime is 447975414431. The next prime is 447975414457. The reversal of 447975414432 is 234414579744.

447975414432 is a `hidden beast` number, since 4 + 4 + 7 + 97 + 541 + 4 + 4 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (447975414431) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 96941082 + ... + 96945702.

It is an arithmetic number, because the mean of its divisors is an integer number (2844110724).

Almost surely, 2^447975414432 is an apocalyptic number.

447975414432 is a gapful number since it is divisible by the number (42) 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 447975414432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819103888512).

447975414432 is an abundant number, since it is smaller than the sum of its proper divisors (1190232362592).

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

447975414432 is a wasteful number, since it uses less digits than its factorization.

447975414432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4803 (or 4783 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 447975414432 in words is "four hundred forty-seven billion, nine hundred seventy-five million, four hundred fourteen thousand, four hundred thirty-two".