447142080 has 448 divisors, whose sum is σ = 1853964288. Its totient is φ = 88535040.

The previous prime is 447142063. The next prime is 447142081. The reversal of 447142080 is 80241744.

It is a tau number, because it is divible by the number of its divisors (448).

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 (447142081) 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 63 ways as a sum of consecutive naturals, for example, 1700029 + ... + 1700291.

Almost surely, 2^447142080 is an apocalyptic number.

447142080 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 447142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926982144).

447142080 is an abundant number, since it is smaller than the sum of its proper divisors (1406822208).

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

447142080 is a wasteful number, since it uses less digits than its factorization.

447142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 447142080 is about 21145.7343216073. The cubic root of 447142080 is about 764.6837258971.

The spelling of 447142080 in words is "four hundred forty-seven million, one hundred forty-two thousand, eighty".