424222416 has 120 divisors (see below), whose sum is σ = 1218672000. Its totient is φ = 137719296.

The previous prime is 424222399. The next prime is 424222433. The reversal of 424222416 is 614222424.

424222416 is a `hidden beast` number, since 4 + 24 + 222 + 416 = 666.

It is an interprime number because it is at equal distance from previous prime (424222399) and next prime (424222433).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 424222416.

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 23 ways as a sum of consecutive naturals, for example, 1012255 + ... + 1012673.

It is an arithmetic number, because the mean of its divisors is an integer number (10155600).

Almost surely, 2^424222416 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 424222416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609336000).

424222416 is an abundant number, since it is smaller than the sum of its proper divisors (794449584).

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

424222416 is a wasteful number, since it uses less digits than its factorization.

424222416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 424222416 is about 20596.6603118078. The cubic root of 424222416 is about 751.3884892107.

The spelling of 424222416 in words is "four hundred twenty-four million, two hundred twenty-two thousand, four hundred sixteen".