456642753 has 16 divisors (see below), whose sum is σ = 708967296. Its totient is φ = 256014720.

The previous prime is 456642743. The next prime is 456642761. The reversal of 456642753 is 357246654.

It is not a de Polignac number, because 456642753 - 2⁴ = 456642737 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (456642743) 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, 204028 + ... + 206253.

It is an arithmetic number, because the mean of its divisors is an integer number (44310456).

Almost surely, 2^456642753 is an apocalyptic number.

It is an amenable number.

456642753 is a deficient number, since it is larger than the sum of its proper divisors (252324543).

456642753 is a wasteful number, since it uses less digits than its factorization.

456642753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410344.

The product of its digits is 604800, while the sum is 42.

The square root of 456642753 is about 21369.2010379424. The cubic root of 456642753 is about 770.0616991095.

The spelling of 456642753 in words is "four hundred fifty-six million, six hundred forty-two thousand, seven hundred fifty-three".