447360000 has 220 divisors, whose sum is σ = 1496389752. Its totient is φ = 118784000.

The previous prime is 447359971. The next prime is 447360019. The reversal of 447360000 is 63744.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1919884 + ... + 1920116.

Almost surely, 2^447360000 is an apocalyptic number.

447360000 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 447360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748194876).

447360000 is an abundant number, since it is smaller than the sum of its proper divisors (1049029752).

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

447360000 is an equidigital number, since it uses as much as digits as its factorization.

447360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 447360000 is about 21150.8865062437. The cubic root of 447360000 is about 764.8079316183.

The spelling of 447360000 in words is "four hundred forty-seven million, three hundred sixty thousand".