420430420 has 24 divisors (see below), whose sum is σ = 887789448. Its totient is φ = 167241600.

The previous prime is 420430411. The next prime is 420430421. The reversal of 420430420 is 24034024.

It can be written as a sum of positive squares in 4 ways, for example, as 13278736 + 407151684 = 3644^2 + 20178^2 .

It is a super-2 number, since 2×420430420² = 353523476122752800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420430421) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54451 + ... + 61690.

It is an arithmetic number, because the mean of its divisors is an integer number (36991227).

Almost surely, 2^420430420 is an apocalyptic number.

It is an amenable number.

420430420 is an abundant number, since it is smaller than the sum of its proper divisors (467359028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420430420 is a wasteful number, since it uses less digits than its factorization.

420430420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116331 (or 116329 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 19.

The square root of 420430420 is about 20504.4000156064. The cubic root of 420430420 is about 749.1429736400.

Adding to 420430420 its reverse (24034024), we get a palindrome (444464444).

The spelling of 420430420 in words is "four hundred twenty million, four hundred thirty thousand, four hundred twenty".