447171648 has 336 divisors, whose sum is σ = 1563624000. Its totient is φ = 111390720.

The previous prime is 447171643. The next prime is 447171691. The reversal of 447171648 is 846171744.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447171643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3001078 + ... + 3001226.

Almost surely, 2^447171648 is an apocalyptic number.

447171648 is a gapful number since it is divisible by the number (48) 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 447171648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781812000).

447171648 is an abundant number, since it is smaller than the sum of its proper divisors (1116452352).

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

447171648 is a wasteful number, since it uses less digits than its factorization.

447171648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 201 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 447171648 is about 21146.4334581508. The cubic root of 447171648 is about 764.7005808455.

The spelling of 447171648 in words is "four hundred forty-seven million, one hundred seventy-one thousand, six hundred forty-eight".