447820478435520 has 560 divisors, whose sum is σ = 1602431400810240. Its totient is φ = 118712002996224.

The previous prime is 447820478435411. The next prime is 447820478435563. The reversal of 447820478435520 is 25534874028744.

447820478435520 is a `hidden beast` number, since 4 + 4 + 7 + 8 + 2 + 0 + 4 + 78 + 4 + 3 + 552 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3073442989 + ... + 3073588691.

It is an arithmetic number, because the mean of its divisors is an integer number (2861484644304).

Almost surely, 2^{447820478435520} is an apocalyptic number.

447820478435520 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 447820478435520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801215700405120).

447820478435520 is an abundant number, since it is smaller than the sum of its proper divisors (1154610922374720).

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

447820478435520 is a wasteful number, since it uses less digits than its factorization.

447820478435520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146434 (or 146415 counting only the distinct ones).

The product of its (nonzero) digits is 240844800, while the sum is 63.

The spelling of 447820478435520 in words is "four hundred forty-seven trillion, eight hundred twenty billion, four hundred seventy-eight million, four hundred thirty-five thousand, five hundred twenty".