447990672 has 160 divisors (see below), whose sum is σ = 1254522880. Its totient is φ = 137479680.

The previous prime is 447990659. The next prime is 447990677. The reversal of 447990672 is 276099744.

It is a super-3 number, since 3×447990672³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (447990677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4349373 + ... + 4349475.

It is an arithmetic number, because the mean of its divisors is an integer number (7840768).

Almost surely, 2^447990672 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 447990672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627261440).

447990672 is an abundant number, since it is smaller than the sum of its proper divisors (806532208).

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

447990672 is a wasteful number, since it uses less digits than its factorization.

447990672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 447990672 is about 21165.7901340819. The cubic root of 447990672 is about 765.1671624108.

The spelling of 447990672 in words is "four hundred forty-seven million, nine hundred ninety thousand, six hundred seventy-two".