420420420 has 72 divisors (see below), whose sum is σ = 1457461824. Its totient is φ = 96095808.

The previous prime is 420420379. The next prime is 420420439. The reversal of 420420420 is 24024024.

It is a Harshad number since it is a multiple of its sum of digits (18).

420420420 is a modest number, since divided by 420420 gives 420 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 420420393 and 420420402.

It is an unprimeable number.

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, 165574 + ... + 168093.

Almost surely, 2^420420420 is an apocalyptic number.

It is an amenable number.

420420420 is an abundant number, since it is smaller than the sum of its proper divisors (1037041404).

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

420420420 is a wasteful number, since it uses less digits than its factorization.

420420420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333689 (or 333684 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 420420420 is about 20504.1561640561. The cubic root of 420420420 is about 749.1370341006.

Adding to 420420420 its reverse (24024024), we get a palindrome (444444444).

The spelling of 420420420 in words is "four hundred twenty million, four hundred twenty thousand, four hundred twenty".