447909000 has 384 divisors, whose sum is σ = 1779822720. Its totient is φ = 92736000.

The previous prime is 447908977. The next prime is 447909029. The reversal of 447909000 is 909744.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1616862 + ... + 1617138.

It is an arithmetic number, because the mean of its divisors is an integer number (4634955).

Almost surely, 2^447909000 is an apocalyptic number.

447909000 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 447909000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889911360).

447909000 is an abundant number, since it is smaller than the sum of its proper divisors (1331913720).

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

447909000 is a wasteful number, since it uses less digits than its factorization.

447909000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 447909000 is about 21163.8607064023. The cubic root of 447909000 is about 765.1206610478.

The spelling of 447909000 in words is "four hundred forty-seven million, nine hundred nine thousand".