447913800 has 240 divisors, whose sum is σ = 1594325040. Its totient is φ = 116484480.

The previous prime is 447913793. The next prime is 447913831. The reversal of 447913800 is 8319744.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 696279 + ... + 696921.

It is an arithmetic number, because the mean of its divisors is an integer number (6643021).

Almost surely, 2^447913800 is an apocalyptic number.

447913800 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 447913800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797162520).

447913800 is an abundant number, since it is smaller than the sum of its proper divisors (1146411240).

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

447913800 is a wasteful number, since it uses less digits than its factorization.

447913800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 447913800 is about 21163.9741069583. The cubic root of 447913800 is about 765.1233941670.

The spelling of 447913800 in words is "four hundred forty-seven million, nine hundred thirteen thousand, eight hundred".