447486684744 has 576 divisors, whose sum is σ = 1379116368000. Its totient is φ = 120672921600.

The previous prime is 447486684739. The next prime is 447486684767.

447486684744 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (66) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1246480837 + ... + 1246481195.

It is an arithmetic number, because the mean of its divisors is an integer number (2394299250).

Almost surely, 2^447486684744 is an apocalyptic number.

447486684744 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 447486684744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689558184000).

447486684744 is an abundant number, since it is smaller than the sum of its proper divisors (931629683256).

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

447486684744 is a wasteful number, since it uses less digits than its factorization.

447486684744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 464 counting only the distinct ones).

The product of its digits is 462422016, while the sum is 66.

The spelling of 447486684744 in words is "four hundred forty-seven billion, four hundred eighty-six million, six hundred eighty-four thousand, seven hundred forty-four".