456145689 has 8 divisors (see below), whose sum is σ = 608294080. Its totient is φ = 304047216.

The previous prime is 456145667. The next prime is 456145733. The reversal of 456145689 is 986541654.

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

It is not a de Polignac number, because 456145689 - 2¹² = 456141593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456145889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24507 + ... + 38895.

It is an arithmetic number, because the mean of its divisors is an integer number (76036760).

Almost surely, 2^456145689 is an apocalyptic number.

It is an amenable number.

456145689 is a deficient number, since it is larger than the sum of its proper divisors (152148391).

456145689 is a wasteful number, since it uses less digits than its factorization.

456145689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24959.

The product of its digits is 1036800, while the sum is 48.

The square root of 456145689 is about 21357.5674878952. The cubic root of 456145689 is about 769.7821889133.

The spelling of 456145689 in words is "four hundred fifty-six million, one hundred forty-five thousand, six hundred eighty-nine".