447350400 has 432 divisors, whose sum is σ = 1862718390. Its totient is φ = 101928960.

The previous prime is 447350399. The next prime is 447350411. The reversal of 447350400 is 4053744.

It can be written as a sum of positive squares in 3 ways, for example, as 213627456 + 233722944 = 14616^2 + 15288^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1411042 + ... + 1411358.

Almost surely, 2^447350400 is an apocalyptic number.

447350400 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 447350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (931359195).

447350400 is an abundant number, since it is smaller than the sum of its proper divisors (1415367990).

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

447350400 is a wasteful number, since it uses less digits than its factorization.

447350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 447350400 is about 21150.6595641838. The cubic root of 447350400 is about 764.8024608500.

The spelling of 447350400 in words is "four hundred forty-seven million, three hundred fifty thousand, four hundred".