427705641 has 24 divisors (see below), whose sum is σ = 678830880. Its totient is φ = 257342400.

The previous prime is 427705627. The next prime is 427705657. The reversal of 427705641 is 146507724.

427705641 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 0 + 5 + 641 = 666.

It is not a de Polignac number, because 427705641 - 2⁹ = 427705129 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 427705596 and 427705605.

It is not an unprimeable number, because it can be changed into a prime (427705241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1780 + ... + 29301.

It is an arithmetic number, because the mean of its divisors is an integer number (28284620).

Almost surely, 2^427705641 is an apocalyptic number.

It is an amenable number.

427705641 is a deficient number, since it is larger than the sum of its proper divisors (251125239).

427705641 is a wasteful number, since it uses less digits than its factorization.

427705641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31237 (or 31234 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 427705641 is about 20681.0454522976. The cubic root of 427705641 is about 753.4393979453.

The spelling of 427705641 in words is "four hundred twenty-seven million, seven hundred five thousand, six hundred forty-one".