447954109883280 has 11520 divisors, whose sum is σ = 2436244582367232. Its totient is φ = 74139593932800.

The previous prime is 447954109883237. The next prime is 447954109883281. The reversal of 447954109883280 is 82388901459744.

It is a happy number.

447954109883280 is a `hidden beast` number, since 4 + 4 + 7 + 95 + 410 + 98 + 8 + 32 + 8 + 0 = 666.

It is a super-2 number, since 2×447954109883280² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 447954109883199 and 447954109883208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447954109883281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 2303 ways as a sum of consecutive naturals, for example, 14450132576865 + ... + 14450132576895.

Almost surely, 2^{447954109883280} is an apocalyptic number.

447954109883280 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 447954109883280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218122291183616).

447954109883280 is an abundant number, since it is smaller than the sum of its proper divisors (1988290472483952).

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

447954109883280 is a wasteful number, since it uses less digits than its factorization.

447954109883280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 447954109883280 in words is "four hundred forty-seven trillion, nine hundred fifty-four billion, one hundred nine million, eight hundred eighty-three thousand, two hundred eighty".