447120000 has 480 divisors, whose sum is σ = 1739818080. Its totient is φ = 114048000.

The previous prime is 447119993. The next prime is 447120007. The reversal of 447120000 is 21744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (447119993) and next prime (447120007).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447120007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 19439989 + ... + 19440011.

It is an arithmetic number, because the mean of its divisors is an integer number (3624621).

Almost surely, 2^447120000 is an apocalyptic number.

447120000 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 447120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869909040).

447120000 is an abundant number, since it is smaller than the sum of its proper divisors (1292698080).

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

447120000 is an frugal number, since it uses more digits than its factorization.

447120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 33 counting only the distinct ones).

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

The square root of 447120000 is about 21145.2122240473. The cubic root of 447120000 is about 764.6711389250.

Adding to 447120000 its reverse (21744), we get a palindrome (447141744).

The spelling of 447120000 in words is "four hundred forty-seven million, one hundred twenty thousand".