447106800 has 480 divisors, whose sum is σ = 1806741504. Its totient is φ = 92160000.

The previous prime is 447106789. The next prime is 447106813. The reversal of 447106800 is 8601744.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 4426750 + ... + 4426850.

Almost surely, 2^447106800 is an apocalyptic number.

447106800 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 447106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903370752).

447106800 is an abundant number, since it is smaller than the sum of its proper divisors (1359634704).

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

447106800 is a wasteful number, since it uses less digits than its factorization.

447106800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 447106800 is about 21144.9000943490. The cubic root of 447106800 is about 764.6636139069.

The spelling of 447106800 in words is "four hundred forty-seven million, one hundred six thousand, eight hundred".