456735923 has 8 divisors (see below), whose sum is σ = 552688992. Its totient is φ = 368459136.

The previous prime is 456735913. The next prime is 456735947. The reversal of 456735923 is 329537654.

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 456735923 - 2⁸ = 456735667 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456735913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1918940 + ... + 1919177.

It is an arithmetic number, because the mean of its divisors is an integer number (69086124).

Almost surely, 2^456735923 is an apocalyptic number.

456735923 is a deficient number, since it is larger than the sum of its proper divisors (95953069).

456735923 is a wasteful number, since it uses less digits than its factorization.

456735923 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838141.

The product of its digits is 680400, while the sum is 44.

The square root of 456735923 is about 21371.3809333885. The cubic root of 456735923 is about 770.1140681070.

The spelling of 456735923 in words is "four hundred fifty-six million, seven hundred thirty-five thousand, nine hundred twenty-three".