447679752 has 64 divisors (see below), whose sum is σ = 1208088000. Its totient is φ = 137428224.

The previous prime is 447679709. The next prime is 447679769. The reversal of 447679752 is 257976744.

It is a junction number, because it is equal to n+sod(n) for n = 447679695 and 447679704.

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 15 ways as a sum of consecutive naturals, for example, 157399 + ... + 160217.

It is an arithmetic number, because the mean of its divisors is an integer number (18876375).

Almost surely, 2^447679752 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 447679752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604044000).

447679752 is an abundant number, since it is smaller than the sum of its proper divisors (760408248).

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

447679752 is a wasteful number, since it uses less digits than its factorization.

447679752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3350 (or 3346 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 51.

The square root of 447679752 is about 21158.4439881575. The cubic root of 447679752 is about 764.9901045326.

The spelling of 447679752 in words is "four hundred forty-seven million, six hundred seventy-nine thousand, seven hundred fifty-two".