456633041 has 2 divisors, whose sum is σ = 456633042. Its totient is φ = 456633040.

The previous prime is 456633013. The next prime is 456633071. The reversal of 456633041 is 140336654.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 421111441 + 35521600 = 20521^2 + 5960^2 .

It is a cyclic number.

It is not a de Polignac number, because 456633041 - 2⁶ = 456632977 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 456632989 and 456633007.

It is not a weakly prime, because it can be changed into another prime (456633071) 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, 228316520 + 228316521.

It is an arithmetic number, because the mean of its divisors is an integer number (228316521).

Almost surely, 2^456633041 is an apocalyptic number.

It is an amenable number.

456633041 is a deficient number, since it is larger than the sum of its proper divisors (1).

456633041 is an equidigital number, since it uses as much as digits as its factorization.

456633041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 456633041 is about 21368.9737937974. The cubic root of 456633041 is about 770.0562397782.

Adding to 456633041 its reverse (140336654), we get a palindrome (596969695).

The spelling of 456633041 in words is "four hundred fifty-six million, six hundred thirty-three thousand, forty-one".