419888057 has 2 divisors, whose sum is σ = 419888058. Its totient is φ = 419888056.

The previous prime is 419888039. The next prime is 419888059. The reversal of 419888057 is 750888914.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 302620816 + 117267241 = 17396^2 + 10829^2 .

It is a cyclic number.

It is not a de Polignac number, because 419888057 - 2¹⁶ = 419822521 is a prime.

It is a super-2 number, since 2×419888057² = 352611960822470498, which contains 22 as substring.

Together with 419888059, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 419887996 and 419888014.

It is not a weakly prime, because it can be changed into another prime (419888059) 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, 209944028 + 209944029.

It is an arithmetic number, because the mean of its divisors is an integer number (209944029).

Almost surely, 2^419888057 is an apocalyptic number.

It is an amenable number.

419888057 is a deficient number, since it is larger than the sum of its proper divisors (1).

419888057 is an equidigital number, since it uses as much as digits as its factorization.

419888057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 645120, while the sum is 50.

The square root of 419888057 is about 20491.1702203656. The cubic root of 419888057 is about 748.8206989335.

The spelling of 419888057 in words is "four hundred nineteen million, eight hundred eighty-eight thousand, fifty-seven".