447419280 has 480 divisors, whose sum is σ = 1823883264. Its totient is φ = 88704000.

The previous prime is 447419261. The next prime is 447419293. The reversal of 447419280 is 82914744.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6301645 + ... + 6301715.

Almost surely, 2^447419280 is an apocalyptic number.

447419280 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 447419280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911941632).

447419280 is an abundant number, since it is smaller than the sum of its proper divisors (1376463984).

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

447419280 is a wasteful number, since it uses less digits than its factorization.

447419280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 447419280 is about 21152.2878195244. The cubic root of 447419280 is about 764.8417118786.

The spelling of 447419280 in words is "four hundred forty-seven million, four hundred nineteen thousand, two hundred eighty".