447795414000 has 480 divisors, whose sum is σ = 1742519900160. Its totient is φ = 106244544000.

The previous prime is 447795413987. The next prime is 447795414023. The reversal of 447795414000 is 414597744.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 9281941 + ... + 9330059.

It is an arithmetic number, because the mean of its divisors is an integer number (3630249792).

Almost surely, 2^447795414000 is an apocalyptic number.

447795414000 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 447795414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871259950080).

447795414000 is an abundant number, since it is smaller than the sum of its proper divisors (1294724486160).

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

447795414000 is a wasteful number, since it uses less digits than its factorization.

447795414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48206 (or 48187 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 447795414000 in words is "four hundred forty-seven billion, seven hundred ninety-five million, four hundred fourteen thousand".