447226284960 has 1920 divisors, whose sum is σ = 2028571776000. Its totient is φ = 92177326080.

The previous prime is 447226284931. The next prime is 447226284971. The reversal of 447226284960 is 69482622744.

It is a happy number.

447226284960 is a `hidden beast` number, since 4 + 4 + 7 + 2 + 2 + 628 + 4 + 9 + 6 + 0 = 666.

It is a super-2 number, since 2×447226284960² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 447226284897 and 447226284906.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4102993386 + ... + 4102993494.

It is an arithmetic number, because the mean of its divisors is an integer number (1056547800).

Almost surely, 2^447226284960 is an apocalyptic number.

447226284960 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 447226284960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014285888000).

447226284960 is an abundant number, since it is smaller than the sum of its proper divisors (1581345491040).

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

447226284960 is a wasteful number, since it uses less digits than its factorization.

447226284960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 447226284960 in words is "four hundred forty-seven billion, two hundred twenty-six million, two hundred eighty-four thousand, nine hundred sixty".