420413827 has 2 divisors, whose sum is σ = 420413828. Its totient is φ = 420413826.

The previous prime is 420413801. The next prime is 420413837. The reversal of 420413827 is 728314024.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 420413827 - 2²³ = 412025219 is a prime.

It is a super-3 number, since 3×420413827³ (a number of 27 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (420413837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 210206913 + 210206914.

It is an arithmetic number, because the mean of its divisors is an integer number (210206914).

Almost surely, 2^420413827 is an apocalyptic number.

420413827 is a deficient number, since it is larger than the sum of its proper divisors (1).

420413827 is an equidigital number, since it uses as much as digits as its factorization.

420413827 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 420413827 is about 20503.9953911427. The cubic root of 420413827 is about 749.1331181108.

The spelling of 420413827 in words is "four hundred twenty million, four hundred thirteen thousand, eight hundred twenty-seven".