447054720 has 512 divisors, whose sum is σ = 1786060800. Its totient is φ = 92897280.

The previous prime is 447054697. The next prime is 447054733. The reversal of 447054720 is 27450744.

447054720 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 12082542 + ... + 12082578.

It is an arithmetic number, because the mean of its divisors is an integer number (3488400).

Almost surely, 2^447054720 is an apocalyptic number.

447054720 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 447054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893030400).

447054720 is an abundant number, since it is smaller than the sum of its proper divisors (1339006080).

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

447054720 is a wasteful number, since it uses less digits than its factorization.

447054720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 447054720 is about 21143.6685558585. The cubic root of 447054720 is about 764.6339228447.

The spelling of 447054720 in words is "four hundred forty-seven million, fifty-four thousand, seven hundred twenty".