447965760 has 224 divisors, whose sum is σ = 1580083200. Its totient is φ = 106608640.

The previous prime is 447965753. The next prime is 447965783. The reversal of 447965760 is 67569744.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 622681 + ... + 623399.

Almost surely, 2^447965760 is an apocalyptic number.

447965760 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 447965760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790041600).

447965760 is an abundant number, since it is smaller than the sum of its proper divisors (1132117440).

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

447965760 is a wasteful number, since it uses less digits than its factorization.

447965760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 48.

The square root of 447965760 is about 21165.2016290892. The cubic root of 447965760 is about 765.1529789326.

The spelling of 447965760 in words is "four hundred forty-seven million, nine hundred sixty-five thousand, seven hundred sixty".