447012000 has 192 divisors, whose sum is σ = 1627516800. Its totient is φ = 119174400.

The previous prime is 447011951. The next prime is 447012029. The reversal of 447012000 is 210744.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105931 + ... + 110069.

It is an arithmetic number, because the mean of its divisors is an integer number (8476650).

Almost surely, 2^447012000 is an apocalyptic number.

447012000 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 447012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813758400).

447012000 is an abundant number, since it is smaller than the sum of its proper divisors (1180504800).

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

447012000 is a wasteful number, since it uses less digits than its factorization.

447012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4149 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 447012000 is about 21142.6583002233. The cubic root of 447012000 is about 764.6095662427.

Adding to 447012000 its reverse (210744), we get a palindrome (447222744).

The spelling of 447012000 in words is "four hundred forty-seven million, twelve thousand".