447249232800 has 432 divisors, whose sum is σ = 1718322520320. Its totient is φ = 112249221120.

The previous prime is 447249232769. The next prime is 447249232853. The reversal of 447249232800 is 8232942744.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6206577 + ... + 6278223.

Almost surely, 2^447249232800 is an apocalyptic number.

447249232800 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 447249232800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859161260160).

447249232800 is an abundant number, since it is smaller than the sum of its proper divisors (1271073287520).

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

447249232800 is a wasteful number, since it uses less digits than its factorization.

447249232800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71710 (or 71674 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 447249232800 in words is "four hundred forty-seven billion, two hundred forty-nine million, two hundred thirty-two thousand, eight hundred".