447932520 has 288 divisors, whose sum is σ = 1723269600. Its totient is φ = 100590336.

The previous prime is 447932519. The next prime is 447932531. The reversal of 447932520 is 25239744.

447932520 is a `hidden beast` number, since 4 + 47 + 93 + 2 + 520 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1181691 + ... + 1182069.

It is an arithmetic number, because the mean of its divisors is an integer number (5983575).

Almost surely, 2^447932520 is an apocalyptic number.

447932520 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 447932520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861634800).

447932520 is an abundant number, since it is smaller than the sum of its proper divisors (1275337080).

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

447932520 is a wasteful number, since it uses less digits than its factorization.

447932520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 447932520 is about 21164.4163633208. The cubic root of 447932520 is about 765.1340531453.

The spelling of 447932520 in words is "four hundred forty-seven million, nine hundred thirty-two thousand, five hundred twenty".