447973680 has 240 divisors, whose sum is σ = 1762815744. Its totient is φ = 93058560.

The previous prime is 447973679. The next prime is 447973709. The reversal of 447973680 is 86379744.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 127629 + ... + 131091.

Almost surely, 2^447973680 is an apocalyptic number.

447973680 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 447973680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881407872).

447973680 is an abundant number, since it is smaller than the sum of its proper divisors (1314842064).

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

447973680 is a wasteful number, since it uses less digits than its factorization.

447973680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3491 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 447973680 is about 21165.3887278264. The cubic root of 447973680 is about 765.1574881879.

The spelling of 447973680 in words is "four hundred forty-seven million, nine hundred seventy-three thousand, six hundred eighty".