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447214320 = 24325789997

447214320 has 240 divisors, whose sum is σ = 1737478080. Its totient is φ = 100970496.

The previous prime is 447214297. The next prime is 447214331. The reversal of 447214320 is 23412744.

447214320 is a `hidden beast` number, since 447 + 214 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 448062 + ... + 449058.

It is an arithmetic number, because the mean of its divisors is an integer number (7239492).

Almost surely, 2447214320 is an apocalyptic number.

447214320 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 447214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868739040).

447214320 is an abundant number, since it is smaller than the sum of its proper divisors (1290263760).

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

447214320 is a wasteful number, since it uses less digits than its factorization.

447214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112 (or 1103 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 447214320 is about 21147.4423985502. The cubic root of 447214320 is about 764.7249042907.

The spelling of 447214320 in words is "four hundred forty-seven million, two hundred fourteen thousand, three hundred twenty".