420444420 has 96 divisors (see below), whose sum is σ = 1293788160. Its totient is φ = 101170560.

The previous prime is 420444419. The next prime is 420444433. The reversal of 420444420 is 24444024.

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 31 ways as a sum of consecutive naturals, for example, 89449 + ... + 94031.

It is an arithmetic number, because the mean of its divisors is an integer number (13476960).

Almost surely, 2^420444420 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 420444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646894080).

420444420 is an abundant number, since it is smaller than the sum of its proper divisors (873343740).

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

420444420 is a wasteful number, since it uses less digits than its factorization.

420444420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4745 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 24.

The square root of 420444420 is about 20504.7414029048. The cubic root of 420444420 is about 749.1512888370.

Adding to 420444420 its reverse (24444024), we get a palindrome (444888444).

It can be divided in two parts, 42044 and 4420, that added together give a palindrome (46464).

The spelling of 420444420 in words is "four hundred twenty million, four hundred forty-four thousand, four hundred twenty".