447835680 has 72 divisors (see below), whose sum is σ = 1528244172. Its totient is φ = 119422464.

The previous prime is 447835667. The next prime is 447835723. The reversal of 447835680 is 86538744.

447835680 is a `hidden beast` number, since 4 + 4 + 7 + 83 + 568 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 435473424 + 12362256 = 20868^2 + 3516^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 11 ways as a sum of consecutive naturals, for example, 154059 + ... + 156938.

Almost surely, 2^447835680 is an apocalyptic number.

447835680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

447835680 is an abundant number, since it is smaller than the sum of its proper divisors (1080408492).

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

447835680 is a wasteful number, since it uses less digits than its factorization.

447835680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311018 (or 311007 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 447835680 is about 21162.1284373760. The cubic root of 447835680 is about 765.0789102248.

The spelling of 447835680 in words is "four hundred forty-seven million, eight hundred thirty-five thousand, six hundred eighty".