456431889 has 16 divisors (see below), whose sum is σ = 657922880. Its totient is φ = 280480320.

The previous prime is 456431887. The next prime is 456431893. The reversal of 456431889 is 988134654.

It is not a de Polignac number, because 456431889 - 2¹ = 456431887 is a prime.

It is a super-2 number, since 2×456431889² = 416660138592216642, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456431881) 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 15 ways as a sum of consecutive naturals, for example, 106102 + ... + 110319.

It is an arithmetic number, because the mean of its divisors is an integer number (41120180).

Almost surely, 2^456431889 is an apocalyptic number.

It is an amenable number.

456431889 is a deficient number, since it is larger than the sum of its proper divisors (201490991).

456431889 is a wasteful number, since it uses less digits than its factorization.

456431889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216480.

The product of its digits is 829440, while the sum is 48.

The square root of 456431889 is about 21364.2666384784. The cubic root of 456431889 is about 769.9431503539.

The spelling of 456431889 in words is "four hundred fifty-six million, four hundred thirty-one thousand, eight hundred eighty-nine".