457829441 has 2 divisors, whose sum is σ = 457829442. Its totient is φ = 457829440.

The previous prime is 457829429. The next prime is 457829447. The reversal of 457829441 is 144928754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 419389441 + 38440000 = 20479^2 + 6200^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457829441 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 457829392 and 457829401.

It is not a weakly prime, because it can be changed into another prime (457829447) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228914720 + 228914721.

It is an arithmetic number, because the mean of its divisors is an integer number (228914721).

Almost surely, 2^457829441 is an apocalyptic number.

It is an amenable number.

457829441 is a deficient number, since it is larger than the sum of its proper divisors (1).

457829441 is an equidigital number, since it uses as much as digits as its factorization.

457829441 is an evil number, because the sum of its binary digits is even.

The product of its digits is 322560, while the sum is 44.

The square root of 457829441 is about 21396.9493386324. The cubic root of 457829441 is about 770.7281811107.

The spelling of 457829441 in words is "four hundred fifty-seven million, eight hundred twenty-nine thousand, four hundred forty-one".