419224057 has 12 divisors (see below), whose sum is σ = 499565556. Its totient is φ = 350568960.

The previous prime is 419224049. The next prime is 419224061. The reversal of 419224057 is 750422914.

It can be written as a sum of positive squares in 2 ways, for example, as 27342441 + 391881616 = 5229^2 + 19796^2 .

It is not a de Polignac number, because 419224057 - 2³ = 419224049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (419224027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102328 + ... + 106345.

It is an arithmetic number, because the mean of its divisors is an integer number (41630463).

Almost surely, 2^419224057 is an apocalyptic number.

It is an amenable number.

419224057 is a deficient number, since it is larger than the sum of its proper divisors (80341499).

419224057 is a wasteful number, since it uses less digits than its factorization.

419224057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208728 (or 208721 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 419224057 is about 20474.9617093659. The cubic root of 419224057 is about 748.4257688551.

The spelling of 419224057 in words is "four hundred nineteen million, two hundred twenty-four thousand, fifty-seven".