456643137 has 16 divisors (see below), whose sum is σ = 646894080. Its totient is φ = 285533952.

The previous prime is 456643129. The next prime is 456643139. The reversal of 456643137 is 731346654.

It is not a de Polignac number, because 456643137 - 2³ = 456643129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 456643095 and 456643104.

It is not an unprimeable number, because it can be changed into a prime (456643139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 337 + ... + 30222.

It is an arithmetic number, because the mean of its divisors is an integer number (40430880).

Almost surely, 2^456643137 is an apocalyptic number.

It is an amenable number.

456643137 is a deficient number, since it is larger than the sum of its proper divisors (190250943).

456643137 is a wasteful number, since it uses less digits than its factorization.

456643137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30872.

The product of its digits is 181440, while the sum is 39.

The square root of 456643137 is about 21369.2100228343. The cubic root of 456643137 is about 770.0619149629.

The spelling of 456643137 in words is "four hundred fifty-six million, six hundred forty-three thousand, one hundred thirty-seven".