447213312000 has 2304 divisors, whose sum is σ = 2083473100800. Its totient is φ = 93162700800.

The previous prime is 447213311971. The next prime is 447213312059. The reversal of 447213312000 is 213312744.

It is a happy number.

447213312000 is a `hidden beast` number, since 447 + 2 + 13 + 3 + 1 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5660927961 + ... + 5660928039.

It is an arithmetic number, because the mean of its divisors is an integer number (904285200).

Almost surely, 2^447213312000 is an apocalyptic number.

447213312000 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 447213312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041736550400).

447213312000 is an abundant number, since it is smaller than the sum of its proper divisors (1636259788800).

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

447213312000 is an equidigital number, since it uses as much as digits as its factorization.

447213312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

Adding to 447213312000 its reverse (213312744), we get a palindrome (447426624744).

The spelling of 447213312000 in words is "four hundred forty-seven billion, two hundred thirteen million, three hundred twelve thousand".