420414131 has 16 divisors (see below), whose sum is σ = 461622240. Its totient is φ = 381104640.

The previous prime is 420414119. The next prime is 420414143. The reversal of 420414131 is 131414024.

It is an interprime number because it is at equal distance from previous prime (420414119) and next prime (420414143).

It is a de Polignac number, because none of the positive numbers 2^k-420414131 is a prime.

It is a super-2 number, since 2×420414131² = 353496083088970322, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420414101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273836 + ... + 275366.

It is an arithmetic number, because the mean of its divisors is an integer number (28851390).

Almost surely, 2^420414131 is an apocalyptic number.

420414131 is a deficient number, since it is larger than the sum of its proper divisors (41208109).

420414131 is a wasteful number, since it uses less digits than its factorization.

420414131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134.

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 420414131 is about 20504.0028043307. The cubic root of 420414131 is about 749.1332986761.

Adding to 420414131 its reverse (131414024), we get a palindrome (551828155).

The spelling of 420414131 in words is "four hundred twenty million, four hundred fourteen thousand, one hundred thirty-one".