419142627 has 16 divisors (see below), whose sum is σ = 627104160. Its totient is φ = 276660000.

The previous prime is 419142611. The next prime is 419142643. The reversal of 419142627 is 726241914.

It is a happy number.

419142627 is a `hidden beast` number, since 4 + 19 + 14 + 2 + 627 = 666.

It is an interprime number because it is at equal distance from previous prime (419142611) and next prime (419142643).

It is not a de Polignac number, because 419142627 - 2⁴ = 419142611 is a prime.

It is a super-2 number, since 2×419142627² = 351361083536922258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 419142591 and 419142600.

It is not an unprimeable number, because it can be changed into a prime (419142677) 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 15 ways as a sum of consecutive naturals, for example, 74124 + ... + 79577.

It is an arithmetic number, because the mean of its divisors is an integer number (39194010).

Almost surely, 2^419142627 is an apocalyptic number.

419142627 is a deficient number, since it is larger than the sum of its proper divisors (207961533).

419142627 is a wasteful number, since it uses less digits than its factorization.

419142627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153811 (or 153805 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 419142627 is about 20472.9730864865. The cubic root of 419142627 is about 748.3773076916.

The spelling of 419142627 in words is "four hundred nineteen million, one hundred forty-two thousand, six hundred twenty-seven".