447315552 has 72 divisors (see below), whose sum is σ = 1287448344. Its totient is φ = 147300864.

The previous prime is 447315551. The next prime is 447315559. The reversal of 447315552 is 255513744.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×447315552³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447315551) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14548 + ... + 33260.

It is an arithmetic number, because the mean of its divisors is an integer number (17881227).

Almost surely, 2^447315552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447315552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643724172).

447315552 is an abundant number, since it is smaller than the sum of its proper divisors (840132792).

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

447315552 is a wasteful number, since it uses less digits than its factorization.

447315552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18812 (or 18801 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 447315552 is about 21149.8357440430. The cubic root of 447315552 is about 764.7826013035.

The spelling of 447315552 in words is "four hundred forty-seven million, three hundred fifteen thousand, five hundred fifty-two".