401416627 has 2 divisors, whose sum is σ = 401416628. Its totient is φ = 401416626.

The previous prime is 401416601. The next prime is 401416633. The reversal of 401416627 is 726614104.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401416627 is a prime.

It is a super-2 number, since 2×401416627² = 322270616864114258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401410627) 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, 200708313 + 200708314.

It is an arithmetic number, because the mean of its divisors is an integer number (200708314).

Almost surely, 2^401416627 is an apocalyptic number.

401416627 is a deficient number, since it is larger than the sum of its proper divisors (1).

401416627 is an equidigital number, since it uses as much as digits as its factorization.

401416627 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 401416627 is about 20035.3843736525. The cubic root of 401416627 is about 737.6750913208.

The spelling of 401416627 in words is "four hundred one million, four hundred sixteen thousand, six hundred twenty-seven".