420585216 has 216 divisors, whose sum is σ = 1242907344. Its totient is φ = 126074880.

The previous prime is 420585211. The next prime is 420585233. The reversal of 420585216 is 612585024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420585211) 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 23 ways as a sum of consecutive naturals, for example, 10258156 + ... + 10258196.

Almost surely, 2^420585216 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 420585216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621453672).

420585216 is an abundant number, since it is smaller than the sum of its proper divisors (822322128).

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

420585216 is a wasteful number, since it uses less digits than its factorization.

420585216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 420585216 is about 20508.1743702359. The cubic root of 420585216 is about 749.2349033237.

It can be divided in two parts, 42058 and 5216, that added together give a palindrome (47274).

The spelling of 420585216 in words is "four hundred twenty million, five hundred eighty-five thousand, two hundred sixteen".