420414444 has 72 divisors (see below), whose sum is σ = 1139851440. Its totient is φ = 130246272.

The previous prime is 420414433. The next prime is 420414457. The reversal of 420414444 is 444414024.

420414444 is a `hidden beast` number, since 4 + 204 + 14 + 444 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30454 + ... + 42050.

It is an arithmetic number, because the mean of its divisors is an integer number (15831270).

Almost surely, 2^420414444 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 420414444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569925720).

420414444 is an abundant number, since it is smaller than the sum of its proper divisors (719436996).

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

420414444 is a wasteful number, since it uses less digits than its factorization.

420414444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11679 (or 11674 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

The square root of 420414444 is about 20504.0104369852. The cubic root of 420414444 is about 749.1334845869.

Adding to 420414444 its reverse (444414024), we get a palindrome (864828468).

The spelling of 420414444 in words is "four hundred twenty million, four hundred fourteen thousand, four hundred forty-four".