420790131 has 48 divisors (see below), whose sum is σ = 663062400. Its totient is φ = 256265856.

The previous prime is 420790121. The next prime is 420790133. The reversal of 420790131 is 131097024.

It is not a de Polignac number, because 420790131 - 2⁵ = 420790099 is a prime.

It is a super-3 number, since 3×420790131³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 420790095 and 420790104.

It is not an unprimeable number, because it can be changed into a prime (420790133) 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 in 47 ways as a sum of consecutive naturals, for example, 654096 + ... + 654738.

It is an arithmetic number, because the mean of its divisors is an integer number (13813800).

Almost surely, 2^420790131 is an apocalyptic number.

420790131 is a deficient number, since it is larger than the sum of its proper divisors (242272269).

420790131 is a wasteful number, since it uses less digits than its factorization.

420790131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 420790131 is about 20513.1696965632. The cubic root of 420790131 is about 749.3565628093.

The spelling of 420790131 in words is "four hundred twenty million, seven hundred ninety thousand, one hundred thirty-one".