456832681 has 2 divisors, whose sum is σ = 456832682. Its totient is φ = 456832680.

The previous prime is 456832643. The next prime is 456832699. The reversal of 456832681 is 186238654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302203456 + 154629225 = 17384^2 + 12435^2 .

It is a cyclic number.

It is not a de Polignac number, because 456832681 - 2⁷ = 456832553 is a prime.

It is a super-2 number, since 2×456832681² = 417392196859295522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (456832631) 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 as a sum of consecutive naturals, namely, 228416340 + 228416341.

It is an arithmetic number, because the mean of its divisors is an integer number (228416341).

Almost surely, 2^456832681 is an apocalyptic number.

It is an amenable number.

456832681 is a deficient number, since it is larger than the sum of its proper divisors (1).

456832681 is an equidigital number, since it uses as much as digits as its factorization.

456832681 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 276480, while the sum is 43.

The square root of 456832681 is about 21373.6445418183. The cubic root of 456832681 is about 770.1684463096.

It can be divided in two parts, 4568 and 32681, that added together give a square (37249 = 193²).

The spelling of 456832681 in words is "four hundred fifty-six million, eight hundred thirty-two thousand, six hundred eighty-one".