447781488 has 160 divisors (see below), whose sum is σ = 1458240000. Its totient is φ = 115015680.

The previous prime is 447781463. The next prime is 447781501. The reversal of 447781488 is 884187744.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 447781488.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 357888 + ... + 359136.

It is an arithmetic number, because the mean of its divisors is an integer number (9114000).

Almost surely, 2^447781488 is an apocalyptic number.

447781488 is a gapful number since it is divisible by the number (48) 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 447781488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729120000).

447781488 is an abundant number, since it is smaller than the sum of its proper divisors (1010458512).

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

447781488 is a wasteful number, since it uses less digits than its factorization.

447781488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1369 counting only the distinct ones).

The product of its digits is 1605632, while the sum is 51.

The square root of 447781488 is about 21160.8479981309. The cubic root of 447781488 is about 765.0480485862.

The spelling of 447781488 in words is "four hundred forty-seven million, seven hundred eighty-one thousand, four hundred eighty-eight".