420223616 has 64 divisors (see below), whose sum is σ = 892442880. Its totient is φ = 196635648.

The previous prime is 420223613. The next prime is 420223633. The reversal of 420223616 is 616322024.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (420223613) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 136850 + ... + 139886.

It is an arithmetic number, because the mean of its divisors is an integer number (13944420).

Almost surely, 2^420223616 is an apocalyptic number.

420223616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420223616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446221440).

420223616 is an abundant number, since it is smaller than the sum of its proper divisors (472219264).

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

420223616 is a wasteful number, since it uses less digits than its factorization.

420223616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3121 (or 3109 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 420223616 is about 20499.3564777044. The cubic root of 420223616 is about 749.0201224182.

The spelling of 420223616 in words is "four hundred twenty million, two hundred twenty-three thousand, six hundred sixteen".