447966000 has 240 divisors, whose sum is σ = 1605397248. Its totient is φ = 116352000.

The previous prime is 447965971. The next prime is 447966019. The reversal of 447966000 is 669744.

447966000 is a `hidden beast` number, since 4 + 47 + 9 + 6 + 600 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 737697 + ... + 738303.

Almost surely, 2^447966000 is an apocalyptic number.

447966000 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 447966000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802698624).

447966000 is an abundant number, since it is smaller than the sum of its proper divisors (1157431248).

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

447966000 is a wasteful number, since it uses less digits than its factorization.

447966000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 447966000 is about 21165.2072987722. The cubic root of 447966000 is about 765.1531155775.

The spelling of 447966000 in words is "four hundred forty-seven million, nine hundred sixty-six thousand".