447768 has 40 divisors (see below), whose sum is σ = 1255980. Its totient is φ = 149040.

The previous prime is 447757. The next prime is 447779. The reversal of 447768 is 867744.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (447757) and next prime (447779).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 4⁵ + 4⁷ + 7 + 7⁶ + 6⁷ + 8⁵ .

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

447768 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 303 + ... + 993.

2⁴⁴⁷⁷⁶⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 447768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627990).

447768 is an abundant number, since it is smaller than the sum of its proper divisors (808212).

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

447768 is a wasteful number, since it uses less digits than its factorization.

447768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 696 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 447768 is about 669.1546906359. The cubic root of 447768 is about 76.5040366959.

The spelling of 447768 in words is "four hundred forty-seven thousand, seven hundred sixty-eight".