447985440 has 288 divisors, whose sum is σ = 1784764800. Its totient is φ = 102283776.

The previous prime is 447985427. The next prime is 447985453. The reversal of 447985440 is 44589744.

It is an interprime number because it is at equal distance from previous prime (447985427) and next prime (447985453).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 493467 + ... + 494373.

It is an arithmetic number, because the mean of its divisors is an integer number (6197100).

Almost surely, 2^447985440 is an apocalyptic number.

447985440 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 447985440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892382400).

447985440 is an abundant number, since it is smaller than the sum of its proper divisors (1336779360).

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

447985440 is a wasteful number, since it uses less digits than its factorization.

447985440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 447985440 is about 21165.6665380517. Note that the first 3 decimals coincide. The cubic root of 447985440 is about 765.1641836507.

The spelling of 447985440 in words is "four hundred forty-seven million, nine hundred eighty-five thousand, four hundred forty".