420216320 has 40 divisors (see below), whose sum is σ = 1007540424. Its totient is φ = 168085504.

The previous prime is 420216287. The next prime is 420216347. The reversal of 420216320 is 23612024.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 420216292 and 420216301.

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 3 ways as a sum of consecutive naturals, for example, 79514 + ... + 84633.

Almost surely, 2^420216320 is an apocalyptic number.

420216320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420216320 is an abundant number, since it is smaller than the sum of its proper divisors (587324104).

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

420216320 is an equidigital number, since it uses as much as digits as its factorization.

420216320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164170 (or 164154 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 420216320 is about 20499.1785201261. The cubic root of 420216320 is about 749.0157875179.

Adding to 420216320 its reverse (23612024), we get a palindrome (443828344).

The spelling of 420216320 in words is "four hundred twenty million, two hundred sixteen thousand, three hundred twenty".