418132224 has 108 divisors (see below), whose sum is σ = 1211364336. Its totient is φ = 138710016.

The previous prime is 418132213. The next prime is 418132229. The reversal of 418132224 is 422231814.

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

It is not an unprimeable number, because it can be changed into a prime (418132229) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 799227 + ... + 799749.

Almost surely, 2^418132224 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 418132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605682168).

418132224 is an abundant number, since it is smaller than the sum of its proper divisors (793232112).

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

418132224 is a wasteful number, since it uses less digits than its factorization.

418132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 892 (or 875 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 418132224 is about 20448.2816882006. The cubic root of 418132224 is about 747.7754671280.

The spelling of 418132224 in words is "four hundred eighteen million, one hundred thirty-two thousand, two hundred twenty-four".