447533020 has 72 divisors (see below), whose sum is σ = 1043822304. Its totient is φ = 161040000.

The previous prime is 447532979. The next prime is 447533069. The reversal of 447533020 is 20335744.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 447533020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 243505 + ... + 245335.

It is an arithmetic number, because the mean of its divisors is an integer number (14497532).

Almost surely, 2^447533020 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 447533020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521911152).

447533020 is an abundant number, since it is smaller than the sum of its proper divisors (596289284).

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

447533020 is a wasteful number, since it uses less digits than its factorization.

447533020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The square root of 447533020 is about 21154.9762467368. The cubic root of 447533020 is about 764.9065174049.

Adding to 447533020 its reverse (20335744), we get a palindrome (467868764).

The spelling of 447533020 in words is "four hundred forty-seven million, five hundred thirty-three thousand, twenty".