420220320 has 96 divisors (see below), whose sum is σ = 1425537792. Its totient is φ = 103437312.

The previous prime is 420220319. The next prime is 420220349. The reversal of 420220320 is 23022024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 420220320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27432 + ... + 39911.

It is an arithmetic number, because the mean of its divisors is an integer number (14849352).

Almost surely, 2^420220320 is an apocalyptic number.

420220320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420220320 is an abundant number, since it is smaller than the sum of its proper divisors (1005317472).

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

420220320 is a wasteful number, since it uses less digits than its factorization.

420220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67374 (or 67366 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 420220320 is about 20499.2760847792. The cubic root of 420220320 is about 749.0181641142.

Adding to 420220320 its reverse (23022024), we get a palindrome (443242344).

The spelling of 420220320 in words is "four hundred twenty million, two hundred twenty thousand, three hundred twenty".