420484840 has 16 divisors (see below), whose sum is σ = 946090980. Its totient is φ = 168193920.

The previous prime is 420484829. The next prime is 420484849. The reversal of 420484840 is 48484024.

It can be written as a sum of positive squares in 2 ways, for example, as 419348484 + 1136356 = 20478^2 + 1066^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420484796 and 420484805.

It is not an unprimeable number, because it can be changed into a prime (420484849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5256021 + ... + 5256100.

Almost surely, 2^420484840 is an apocalyptic number.

420484840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420484840 is an abundant number, since it is smaller than the sum of its proper divisors (525606140).

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

420484840 is a wasteful number, since it uses less digits than its factorization.

420484840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10512132 (or 10512128 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The square root of 420484840 is about 20505.7270049126. The cubic root of 420484840 is about 749.1752949627.

The spelling of 420484840 in words is "four hundred twenty million, four hundred eighty-four thousand, eight hundred forty".