447491520 has 448 divisors, whose sum is σ = 1853184000. Its totient is φ = 101606400.

The previous prime is 447491483. The next prime is 447491521. The reversal of 447491520 is 25194744.

It is a happy number.

447491520 is a `hidden beast` number, since 4 + 47 + 4 + 91 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 (447491521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2963445 + ... + 2963595.

Almost surely, 2^447491520 is an apocalyptic number.

447491520 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 447491520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926592000).

447491520 is an abundant number, since it is smaller than the sum of its proper divisors (1405692480).

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

447491520 is a wasteful number, since it uses less digits than its factorization.

447491520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 447491520 is about 21153.9953673059. The cubic root of 447491520 is about 764.8828732637.

The spelling of 447491520 in words is "four hundred forty-seven million, four hundred ninety-one thousand, five hundred twenty".