457967801 has 2 divisors, whose sum is σ = 457967802. Its totient is φ = 457967800.

The previous prime is 457967771. The next prime is 457967803. The reversal of 457967801 is 108769754.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311557801 + 146410000 = 17651^2 + 12100^2 .

It is a cyclic number.

It is not a de Polignac number, because 457967801 - 2²² = 453773497 is a prime.

Together with 457967803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (457967803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228983900 + 228983901.

It is an arithmetic number, because the mean of its divisors is an integer number (228983901).

Almost surely, 2^457967801 is an apocalyptic number.

It is an amenable number.

457967801 is a deficient number, since it is larger than the sum of its proper divisors (1).

457967801 is an equidigital number, since it uses as much as digits as its factorization.

457967801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 423360, while the sum is 47.

The square root of 457967801 is about 21400.1822655790. The cubic root of 457967801 is about 770.8058135222.

The spelling of 457967801 in words is "four hundred fifty-seven million, nine hundred sixty-seven thousand, eight hundred one".