447238400 has 216 divisors, whose sum is σ = 1292625600. Its totient is φ = 150036480.

The previous prime is 447238391. The next prime is 447238411. The reversal of 447238400 is 4832744.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3001526 + ... + 3001674.

Almost surely, 2^447238400 is an apocalyptic number.

447238400 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 447238400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646312800).

447238400 is an abundant number, since it is smaller than the sum of its proper divisors (845387200).

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

447238400 is a wasteful number, since it uses less digits than its factorization.

447238400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 32.

The square root of 447238400 is about 21148.0117268740. The cubic root of 447238400 is about 764.7386294365.

The spelling of 447238400 in words is "four hundred forty-seven million, two hundred thirty-eight thousand, four hundred".