457301393 has 2 divisors, whose sum is σ = 457301394. Its totient is φ = 457301392.

The previous prime is 457301311. The next prime is 457301407. The reversal of 457301393 is 393103754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 238764304 + 218537089 = 15452^2 + 14783^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457301393 is a prime.

It is a super-3 number, since 3×457301393³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (457301293) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228650696 + 228650697.

It is an arithmetic number, because the mean of its divisors is an integer number (228650697).

Almost surely, 2^457301393 is an apocalyptic number.

It is an amenable number.

457301393 is a deficient number, since it is larger than the sum of its proper divisors (1).

457301393 is an equidigital number, since it uses as much as digits as its factorization.

457301393 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 35.

The square root of 457301393 is about 21384.6064495001. The cubic root of 457301393 is about 770.4317548250.

The spelling of 457301393 in words is "four hundred fifty-seven million, three hundred one thousand, three hundred ninety-three".