447146320 has 80 divisors (see below), whose sum is σ = 1062432000. Its totient is φ = 174979584.

The previous prime is 447146303. The next prime is 447146351. The reversal of 447146320 is 23641744.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 878226 + ... + 878734.

It is an arithmetic number, because the mean of its divisors is an integer number (13280400).

Almost surely, 2^447146320 is an apocalyptic number.

447146320 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 447146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531216000).

447146320 is an abundant number, since it is smaller than the sum of its proper divisors (615285680).

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

447146320 is a wasteful number, since it uses less digits than its factorization.

447146320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 447146320 is about 21145.8345779967. The cubic root of 447146320 is about 764.6861429131.

The spelling of 447146320 in words is "four hundred forty-seven million, one hundred forty-six thousand, three hundred twenty".