447219300 has 144 divisors (see below), whose sum is σ = 1438782912. Its totient is φ = 106329600.

The previous prime is 447219293. The next prime is 447219301. The reversal of 447219300 is 3912744.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (447219301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 173622 + ... + 176178.

It is an arithmetic number, because the mean of its divisors is an integer number (9991548).

Almost surely, 2^447219300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447219300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719391456).

447219300 is an abundant number, since it is smaller than the sum of its proper divisors (991563612).

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

447219300 is a wasteful number, since it uses less digits than its factorization.

447219300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2638 (or 2631 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 447219300 is about 21147.5601429574. The cubic root of 447219300 is about 764.7277428372.

The spelling of 447219300 in words is "four hundred forty-seven million, two hundred nineteen thousand, three hundred".