447528096000 has 432 divisors, whose sum is σ = 1612926352128. Its totient is φ = 119149056000.

The previous prime is 447528095957. The next prime is 447528096079. The reversal of 447528096000 is 690825744.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 337247337 + ... + 337248663.

Almost surely, 2^447528096000 is an apocalyptic number.

447528096000 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 447528096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806463176064).

447528096000 is an abundant number, since it is smaller than the sum of its proper divisors (1165398256128).

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

447528096000 is a wasteful number, since it uses less digits than its factorization.

447528096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2535 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 447528096000 in words is "four hundred forty-seven billion, five hundred twenty-eight million, ninety-six thousand".