447953760 has 192 divisors, whose sum is σ = 1585483200. Its totient is φ = 118112256.

The previous prime is 447953743. The next prime is 447953767. The reversal of 447953760 is 67359744.

447953760 is a `hidden beast` number, since 44 + 79 + 537 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447953767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 418506 + ... + 419574.

It is an arithmetic number, because the mean of its divisors is an integer number (8257725).

Almost surely, 2^447953760 is an apocalyptic number.

447953760 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 447953760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792741600).

447953760 is an abundant number, since it is smaller than the sum of its proper divisors (1137529440).

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

447953760 is a wasteful number, since it uses less digits than its factorization.

447953760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 447953760 is about 21164.9181430026. The cubic root of 447953760 is about 765.1461466264.

The spelling of 447953760 in words is "four hundred forty-seven million, nine hundred fifty-three thousand, seven hundred sixty".