447850800 has 180 divisors, whose sum is σ = 1604700864. Its totient is φ = 115545600.

The previous prime is 447850789. The next prime is 447850801. The reversal of 447850800 is 8058744.

It is a tau number, because it is divible by the number of its divisors (180).

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

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

It is not an unprimeable number, because it can be changed into a prime (447850801) 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 35 ways as a sum of consecutive naturals, for example, 109594 + ... + 113606.

Almost surely, 2^447850800 is an apocalyptic number.

447850800 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 447850800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802350432).

447850800 is an abundant number, since it is smaller than the sum of its proper divisors (1156850064).

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

447850800 is a wasteful number, since it uses less digits than its factorization.

447850800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 447850800 is about 21162.4856763094. The cubic root of 447850800 is about 765.0875204238.

It can be divided in two parts, 4478 and 50800, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 447850800 in words is "four hundred forty-seven million, eight hundred fifty thousand, eight hundred".