457077241 has 2 divisors, whose sum is σ = 457077242. Its totient is φ = 457077240.

The previous prime is 457077199. The next prime is 457077253. The reversal of 457077241 is 142770754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 321843600 + 135233641 = 17940^2 + 11629^2 .

It is a cyclic number.

It is not a de Polignac number, because 457077241 - 2⁹ = 457076729 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 457077241.

It is not a weakly prime, because it can be changed into another prime (457077041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228538620 + 228538621.

It is an arithmetic number, because the mean of its divisors is an integer number (228538621).

Almost surely, 2^457077241 is an apocalyptic number.

It is an amenable number.

457077241 is a deficient number, since it is larger than the sum of its proper divisors (1).

457077241 is an equidigital number, since it uses as much as digits as its factorization.

457077241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54880, while the sum is 37.

The square root of 457077241 is about 21379.3648408927. The cubic root of 457077241 is about 770.3058553307.

The spelling of 457077241 in words is "four hundred fifty-seven million, seventy-seven thousand, two hundred forty-one".