418243224 has 192 divisors, whose sum is σ = 1300032000. Its totient is φ = 111870528.

The previous prime is 418243223. The next prime is 418243229. The reversal of 418243224 is 422342814.

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

It is a junction number, because it is equal to n+sod(n) for n = 418243191 and 418243200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418243223) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8898769 + ... + 8898815.

It is an arithmetic number, because the mean of its divisors is an integer number (6771000).

Almost surely, 2^418243224 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 418243224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (650016000).

418243224 is an abundant number, since it is smaller than the sum of its proper divisors (881788776).

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

418243224 is a wasteful number, since it uses less digits than its factorization.

418243224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 82 counting only the distinct ones).

The product of its digits is 12288, while the sum is 30.

The square root of 418243224 is about 20450.9956725828. The cubic root of 418243224 is about 747.8416309939.

The spelling of 418243224 in words is "four hundred eighteen million, two hundred forty-three thousand, two hundred twenty-four".