457303361 has 2 divisors, whose sum is σ = 457303362. Its totient is φ = 457303360.

The previous prime is 457303339. The next prime is 457303369. The reversal of 457303361 is 163303754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 453903025 + 3400336 = 21305^2 + 1844^2 .

It is a cyclic number.

It is not a de Polignac number, because 457303361 - 2¹⁰ = 457302337 is a prime.

It is a super-4 number, since 4×457303361⁴ (a number of 36 digits) contains 4444 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (457303369) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228651680 + 228651681.

It is an arithmetic number, because the mean of its divisors is an integer number (228651681).

Almost surely, 2^457303361 is an apocalyptic number.

It is an amenable number.

457303361 is a deficient number, since it is larger than the sum of its proper divisors (1).

457303361 is an equidigital number, since it uses as much as digits as its factorization.

457303361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22680, while the sum is 32.

The square root of 457303361 is about 21384.6524638583. The cubic root of 457303361 is about 770.4328600097.

The spelling of 457303361 in words is "four hundred fifty-seven million, three hundred three thousand, three hundred sixty-one".