457124753 has 2 divisors, whose sum is σ = 457124754. Its totient is φ = 457124752.

The previous prime is 457124653. The next prime is 457124783. The reversal of 457124753 is 357421754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 440706049 + 16418704 = 20993^2 + 4052^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-457124753 is a prime.

It is a super-2 number, since 2×457124753² = 417926079610622018, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (457124783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228562376 + 228562377.

It is an arithmetic number, because the mean of its divisors is an integer number (228562377).

Almost surely, 2^457124753 is an apocalyptic number.

It is an amenable number.

457124753 is a deficient number, since it is larger than the sum of its proper divisors (1).

457124753 is an equidigital number, since it uses as much as digits as its factorization.

457124753 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 117600, while the sum is 38.

The square root of 457124753 is about 21380.4759769281. The cubic root of 457124753 is about 770.3325448414.

The spelling of 457124753 in words is "four hundred fifty-seven million, one hundred twenty-four thousand, seven hundred fifty-three".