447249600000 has 2400 divisors, whose sum is σ = 2088704439360. Its totient is φ = 92897280000.

The previous prime is 447249599959. The next prime is 447249600001. The reversal of 447249600000 is 6942744.

447249600000 is a `hidden beast` number, since 4 + 4 + 7 + 2 + 49 + 600 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (447249600001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 15422399986 + ... + 15422400014.

Almost surely, 2^447249600000 is an apocalyptic number.

447249600000 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 447249600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044352219680).

447249600000 is an abundant number, since it is smaller than the sum of its proper divisors (1641454839360).

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

447249600000 is an frugal number, since it uses more digits than its factorization.

447249600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 447249600000 in words is "four hundred forty-seven billion, two hundred forty-nine million, six hundred thousand".