456141889 has 8 divisors (see below), whose sum is σ = 521985600. Its totient is φ = 390468336.

The previous prime is 456141863. The next prime is 456141923. The reversal of 456141889 is 988141654.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 456141889 - 2¹⁷ = 456010817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456141839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36739 + ... + 47560.

It is an arithmetic number, because the mean of its divisors is an integer number (65248200).

Almost surely, 2^456141889 is an apocalyptic number.

It is an amenable number.

456141889 is a deficient number, since it is larger than the sum of its proper divisors (65843711).

456141889 is an equidigital number, since it uses as much as digits as its factorization.

456141889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85079.

The product of its digits is 276480, while the sum is 46.

The square root of 456141889 is about 21357.4785262680. The cubic root of 456141889 is about 769.7800513064.

The spelling of 456141889 in words is "four hundred fifty-six million, one hundred forty-one thousand, eight hundred eighty-nine".