447314400 has 504 divisors, whose sum is σ = 1793088360. Its totient is φ = 108241920.

The previous prime is 447314383. The next prime is 447314437. The reversal of 447314400 is 4413744.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 7581571 + ... + 7581629.

It is an arithmetic number, because the mean of its divisors is an integer number (3557715).

Almost surely, 2^447314400 is an apocalyptic number.

447314400 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 447314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896544180).

447314400 is an abundant number, since it is smaller than the sum of its proper divisors (1345773960).

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

447314400 is a wasteful number, since it uses less digits than its factorization.

447314400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 447314400 is about 21149.8085097714. The cubic root of 447314400 is about 764.7819447720.

The spelling of 447314400 in words is "four hundred forty-seven million, three hundred fourteen thousand, four hundred".