420055420 has 48 divisors (see below), whose sum is σ = 932198400. Its totient is φ = 158552640.

The previous prime is 420055409. The next prime is 420055457. The reversal of 420055420 is 24550024.

It is a junction number, because it is equal to n+sod(n) for n = 420055391 and 420055400.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 100941 + ... + 105019.

It is an arithmetic number, because the mean of its divisors is an integer number (19420800).

Almost surely, 2^420055420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420055420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466099200).

420055420 is an abundant number, since it is smaller than the sum of its proper divisors (512142980).

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

420055420 is a wasteful number, since it uses less digits than its factorization.

420055420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4378 (or 4376 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 22.

The square root of 420055420 is about 20495.2535968697. The cubic root of 420055420 is about 748.9201764246.

The spelling of 420055420 in words is "four hundred twenty million, fifty-five thousand, four hundred twenty".