447825853440 has 1760 divisors, whose sum is σ = 2020174801920. Its totient is φ = 92493840384.

The previous prime is 447825853439. The next prime is 447825853451. The reversal of 447825853440 is 44358528744.

447825853440 is a `hidden beast` number, since 4 + 47 + 8 + 25 + 8 + 534 + 40 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1268628304 + ... + 1268628656.

It is an arithmetic number, because the mean of its divisors is an integer number (1147826592).

Almost surely, 2^447825853440 is an apocalyptic number.

447825853440 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 447825853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010087400960).

447825853440 is an abundant number, since it is smaller than the sum of its proper divisors (1572348948480).

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

447825853440 is a wasteful number, since it uses less digits than its factorization.

447825853440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 17203200, while the sum is 54.

The spelling of 447825853440 in words is "four hundred forty-seven billion, eight hundred twenty-five million, eight hundred fifty-three thousand, four hundred forty".