447417976320 has 1120 divisors, whose sum is σ = 1903162029120. Its totient is φ = 98656911360.

The previous prime is 447417976309. The next prime is 447417976337. The reversal of 447417976320 is 23679714744.

It is a happy number.

447417976320 is a `hidden beast` number, since 4 + 474 + 1 + 7 + 97 + 63 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 378846130 + ... + 378847310.

Almost surely, 2^447417976320 is an apocalyptic number.

447417976320 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 447417976320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951581014560).

447417976320 is an abundant number, since it is smaller than the sum of its proper divisors (1455744052800).

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

447417976320 is an equidigital number, since it uses as much as digits as its factorization.

447417976320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 7112448, while the sum is 54.

The spelling of 447417976320 in words is "four hundred forty-seven billion, four hundred seventeen million, nine hundred seventy-six thousand, three hundred twenty".