447316401 has 32 divisors (see below), whose sum is σ = 707401728. Its totient is φ = 246113280.

The previous prime is 447316381. The next prime is 447316423. The reversal of 447316401 is 104613744.

It is not a de Polignac number, because 447316401 - 2⁹ = 447315889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (447316301) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 60625 + ... + 67601.

It is an arithmetic number, because the mean of its divisors is an integer number (22106304).

Almost surely, 2^447316401 is an apocalyptic number.

It is an amenable number.

447316401 is a deficient number, since it is larger than the sum of its proper divisors (260085327).

447316401 is a wasteful number, since it uses less digits than its factorization.

447316401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7101.

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 447316401 is about 21149.8558151114. The cubic root of 447316401 is about 764.7830851529.

The spelling of 447316401 in words is "four hundred forty-seven million, three hundred sixteen thousand, four hundred one".