420789321 has 24 divisors (see below), whose sum is σ = 645548904. Its totient is φ = 263208960.

The previous prime is 420789283. The next prime is 420789323. The reversal of 420789321 is 123987024.

It can be written as a sum of positive squares in 4 ways, for example, as 50765625 + 370023696 = 7125^2 + 19236^2 .

It is not a de Polignac number, because 420789321 - 2¹⁰ = 420788297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (420789323) 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 23 ways as a sum of consecutive naturals, for example, 47481 + ... + 55641.

It is an arithmetic number, because the mean of its divisors is an integer number (26897871).

Almost surely, 2^420789321 is an apocalyptic number.

It is an amenable number.

420789321 is a deficient number, since it is larger than the sum of its proper divisors (224759583).

420789321 is a wasteful number, since it uses less digits than its factorization.

420789321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8521 (or 8518 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 420789321 is about 20513.1499531398. The cubic root of 420789321 is about 749.3560819843.

It can be divided in two parts, 4207 and 89321, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 420789321 in words is "four hundred twenty million, seven hundred eighty-nine thousand, three hundred twenty-one".