447364560 has 80 divisors (see below), whose sum is σ = 1389268224. Its totient is φ = 119087616.

The previous prime is 447364523. The next prime is 447364591. The reversal of 447364560 is 65463744.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174649 + ... + 177191.

Almost surely, 2^447364560 is an apocalyptic number.

447364560 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 447364560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694634112).

447364560 is an abundant number, since it is smaller than the sum of its proper divisors (941903664).

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

447364560 is a wasteful number, since it uses less digits than its factorization.

With its successor (447364561) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (3286).

With its successor (447364561) it forms an eRAP, since the sums of their prime factors are consecutive (3292 and 3293).

447364560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3292 (or 3286 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 447364560 is about 21150.9943028691. The cubic root of 447364560 is about 764.8105302058.

The spelling of 447364560 in words is "four hundred forty-seven million, three hundred sixty-four thousand, five hundred sixty".