420413857 has 2 divisors, whose sum is σ = 420413858. Its totient is φ = 420413856.

The previous prime is 420413837. The next prime is 420413863. The reversal of 420413857 is 758314024.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312440976 + 107972881 = 17676^2 + 10391^2 .

It is a cyclic number.

It is not a de Polignac number, because 420413857 - 2¹¹ = 420411809 is a prime.

It is a super-2 number, since 2×420413857² = 353495622315232898, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (420413827) 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, 210206928 + 210206929.

It is an arithmetic number, because the mean of its divisors is an integer number (210206929).

Almost surely, 2^420413857 is an apocalyptic number.

It is an amenable number.

420413857 is a deficient number, since it is larger than the sum of its proper divisors (1).

420413857 is an equidigital number, since it uses as much as digits as its factorization.

420413857 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26880, while the sum is 34.

The square root of 420413857 is about 20503.9961227074. The cubic root of 420413857 is about 749.1331359297.

The spelling of 420413857 in words is "four hundred twenty million, four hundred thirteen thousand, eight hundred fifty-seven".