447297282432 has 1920 divisors, whose sum is σ = 1872081953280. Its totient is φ = 104161075200.

The previous prime is 447297282431. The next prime is 447297282461. The reversal of 447297282432 is 234282792744.

447297282432 is a `hidden beast` number, since 4 + 47 + 2 + 97 + 2 + 82 + 432 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447297282431) 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 239 ways as a sum of consecutive naturals, for example, 3414483007 + ... + 3414483137.

It is an arithmetic number, because the mean of its divisors is an integer number (975042684).

Almost surely, 2^447297282432 is an apocalyptic number.

447297282432 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 447297282432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936040976640).

447297282432 is an abundant number, since it is smaller than the sum of its proper divisors (1424784670848).

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

447297282432 is a wasteful number, since it uses less digits than its factorization.

447297282432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 214 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 447297282432 in words is "four hundred forty-seven billion, two hundred ninety-seven million, two hundred eighty-two thousand, four hundred thirty-two".