447993909000 has 960 divisors, whose sum is σ = 1762979137920. Its totient is φ = 105979104000.

The previous prime is 447993908969. The next prime is 447993909001. The reversal of 447993909000 is 909399744.

It is a super-2 number, since 2×447993909000² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is not an unprimeable number, because it can be changed into a prime (447993909001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 421442469 + ... + 421443531.

It is an arithmetic number, because the mean of its divisors is an integer number (1836436602).

Almost surely, 2^447993909000 is an apocalyptic number.

447993909000 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 447993909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881489568960).

447993909000 is an abundant number, since it is smaller than the sum of its proper divisors (1314985228920).

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

447993909000 is a wasteful number, since it uses less digits than its factorization.

447993909000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 447993909000 in words is "four hundred forty-seven billion, nine hundred ninety-three million, nine hundred nine thousand".