420310431 has 64 divisors (see below), whose sum is σ = 689356800. Its totient is φ = 251942400.

The previous prime is 420310399. The next prime is 420310433. The reversal of 420310431 is 134013024.

It is not a de Polignac number, because 420310431 - 2⁵ = 420310399 is a prime.

It is a super-2 number, since 2×420310431² = 353321716814811522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420310433) 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 63 ways as a sum of consecutive naturals, for example, 1550826 + ... + 1551096.

It is an arithmetic number, because the mean of its divisors is an integer number (10771200).

Almost surely, 2^420310431 is an apocalyptic number.

420310431 is a deficient number, since it is larger than the sum of its proper divisors (269046369).

420310431 is a wasteful number, since it uses less digits than its factorization.

420310431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 420310431 is about 20501.4738738462. The cubic root of 420310431 is about 749.0716994849.

Adding to 420310431 its reverse (134013024), we get a palindrome (554323455).

The spelling of 420310431 in words is "four hundred twenty million, three hundred ten thousand, four hundred thirty-one".