447972279744 has 224 divisors, whose sum is σ = 1329127656192. Its totient is φ = 131963904000.

The previous prime is 447972279721. The next prime is 447972279749.

447972279744 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447972279749) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134484159 + ... + 134487489.

It is an arithmetic number, because the mean of its divisors is an integer number (5933605608).

Almost surely, 2^447972279744 is an apocalyptic number.

447972279744 is a gapful number since it is divisible by the number (44) 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 447972279744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664563828096).

447972279744 is an abundant number, since it is smaller than the sum of its proper divisors (881155376448).

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

447972279744 is a wasteful number, since it uses less digits than its factorization.

447972279744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5115 (or 5105 counting only the distinct ones).

The product of its digits is 199148544, while the sum is 66.

The spelling of 447972279744 in words is "four hundred forty-seven billion, nine hundred seventy-two million, two hundred seventy-nine thousand, seven hundred forty-four".