447086008320 has 384 divisors, whose sum is σ = 1730828736000. Its totient is φ = 96179060736.

The previous prime is 447086008309. The next prime is 447086008423. The reversal of 447086008320 is 23800680744.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×447086008320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594531 + ... + 3716829.

It is an arithmetic number, because the mean of its divisors is an integer number (4507366500).

Almost surely, 2^447086008320 is an apocalyptic number.

447086008320 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 447086008320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865414368000).

447086008320 is an abundant number, since it is smaller than the sum of its proper divisors (1283742727680).

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

447086008320 is a wasteful number, since it uses less digits than its factorization.

447086008320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122353 (or 122333 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 447086008320 in words is "four hundred forty-seven billion, eighty-six million, eight thousand, three hundred twenty".