447657375000 has 448 divisors, whose sum is σ = 1559230041600. Its totient is φ = 106168000000.

The previous prime is 447657374999. The next prime is 447657375007. The reversal of 447657375000 is 573756744.

It is a super-3 number, since 3×447657375000³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447657375007) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 193873846 + ... + 193876154.

It is an arithmetic number, because the mean of its divisors is an integer number (3480424200).

Almost surely, 2^447657375000 is an apocalyptic number.

447657375000 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 447657375000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779615020800).

447657375000 is an abundant number, since it is smaller than the sum of its proper divisors (1111572666600).

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

447657375000 is a wasteful number, since it uses less digits than its factorization.

447657375000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406 (or 2377 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 48.

The spelling of 447657375000 in words is "four hundred forty-seven billion, six hundred fifty-seven million, three hundred seventy-five thousand".