457413601 has 2 divisors, whose sum is σ = 457413602. Its totient is φ = 457413600.

The previous prime is 457413529. The next prime is 457413637. The reversal of 457413601 is 106314754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311487201 + 145926400 = 17649^2 + 12080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457413601 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (457413001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228706800 + 228706801.

It is an arithmetic number, because the mean of its divisors is an integer number (228706801).

Almost surely, 2^457413601 is an apocalyptic number.

It is an amenable number.

457413601 is a deficient number, since it is larger than the sum of its proper divisors (1).

457413601 is an equidigital number, since it uses as much as digits as its factorization.

457413601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 457413601 is about 21387.2298580251. The cubic root of 457413601 is about 770.4947632610.

The spelling of 457413601 in words is "four hundred fifty-seven million, four hundred thirteen thousand, six hundred one".