447792160 has 48 divisors (see below), whose sum is σ = 1083727512. Its totient is φ = 174745600.

The previous prime is 447792151. The next prime is 447792173. The reversal of 447792160 is 61297744.

It can be written as a sum of positive squares in 4 ways, for example, as 96904336 + 350887824 = 9844^2 + 18732^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27571 + ... + 40690.

Almost surely, 2^447792160 is an apocalyptic number.

447792160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

447792160 is an abundant number, since it is smaller than the sum of its proper divisors (635935352).

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

447792160 is a wasteful number, since it uses less digits than its factorization.

447792160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68317 (or 68309 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 447792160 is about 21161.1001604359. The cubic root of 447792160 is about 765.0541263481.

The spelling of 447792160 in words is "four hundred forty-seven million, seven hundred ninety-two thousand, one hundred sixty".