447969744 has 80 divisors (see below), whose sum is σ = 1298696640. Its totient is φ = 147830400.

The previous prime is 447969701. The next prime is 447969779.

447969744 is nontrivially palindromic in base 10.

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 15 ways as a sum of consecutive naturals, for example, 38499 + ... + 48765.

It is an arithmetic number, because the mean of its divisors is an integer number (16233708).

Almost surely, 2^447969744 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 447969744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649348320).

447969744 is an abundant number, since it is smaller than the sum of its proper divisors (850726896).

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

447969744 is a wasteful number, since it uses less digits than its factorization.

447969744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10385 (or 10373 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 447969744 is about 21165.2957456304. The cubic root of 447969744 is about 765.1552472313.

The spelling of 447969744 in words is "four hundred forty-seven million, nine hundred sixty-nine thousand, seven hundred forty-four".