447605760 has 352 divisors, whose sum is σ = 1716728832. Its totient is φ = 97320960.

The previous prime is 447605729. The next prime is 447605771. The reversal of 447605760 is 67506744.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2472870 + ... + 2473050.

Almost surely, 2^447605760 is an apocalyptic number.

447605760 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 447605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858364416).

447605760 is an abundant number, since it is smaller than the sum of its proper divisors (1269123072).

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

447605760 is a wasteful number, since it uses less digits than its factorization.

447605760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 447605760 is about 21156.6953941300. The cubic root of 447605760 is about 764.9479566458.

The spelling of 447605760 in words is "four hundred forty-seven million, six hundred five thousand, seven hundred sixty".