457682441 has 2 divisors, whose sum is σ = 457682442. Its totient is φ = 457682440.

The previous prime is 457682387. The next prime is 457682443. The reversal of 457682441 is 144286754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 453860416 + 3822025 = 21304^2 + 1955^2 .

It is a cyclic number.

It is not a de Polignac number, because 457682441 - 2¹⁰ = 457681417 is a prime.

It is a Sophie Germain prime.

Together with 457682443, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (457682443) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228841220 + 228841221.

It is an arithmetic number, because the mean of its divisors is an integer number (228841221).

Almost surely, 2^457682441 is an apocalyptic number.

It is an amenable number.

457682441 is a deficient number, since it is larger than the sum of its proper divisors (1).

457682441 is an equidigital number, since it uses as much as digits as its factorization.

457682441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 215040, while the sum is 41.

The square root of 457682441 is about 21393.5139937318. The cubic root of 457682441 is about 770.6456837435.

The spelling of 457682441 in words is "four hundred fifty-seven million, six hundred eighty-two thousand, four hundred forty-one".