456762041 has 2 divisors, whose sum is σ = 456762042. Its totient is φ = 456762040.

The previous prime is 456762013. The next prime is 456762043. The reversal of 456762041 is 140267654.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 437437225 + 19324816 = 20915^2 + 4396^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456762041 is a prime.

Together with 456762043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 456761992 and 456762010.

It is not a weakly prime, because it can be changed into another prime (456762043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228381020 + 228381021.

It is an arithmetic number, because the mean of its divisors is an integer number (228381021).

Almost surely, 2^456762041 is an apocalyptic number.

It is an amenable number.

456762041 is a deficient number, since it is larger than the sum of its proper divisors (1).

456762041 is an equidigital number, since it uses as much as digits as its factorization.

456762041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 456762041 is about 21371.9919754804. The cubic root of 456762041 is about 770.1287472354.

The spelling of 456762041 in words is "four hundred fifty-six million, seven hundred sixty-two thousand, forty-one".