396244224 has 180 divisors, whose sum is σ = 1199768724. Its totient is φ = 130056192.

The previous prime is 396244181. The next prime is 396244237. The reversal of 396244224 is 422442693.

396244224 is a `hidden beast` number, since 3 + 9 + 624 + 4 + 2 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 308634624 + 87609600 = 17568^2 + 9360^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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 19 ways as a sum of consecutive naturals, for example, 2011294 + ... + 2011490.

Almost surely, 2^396244224 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 396244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599884362).

396244224 is an abundant number, since it is smaller than the sum of its proper divisors (803524500).

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

396244224 is an equidigital number, since it uses as much as digits as its factorization.

396244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 299 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 396244224 is about 19905.8841551939. The cubic root of 396244224 is about 734.4929781038.

The spelling of 396244224 in words is "three hundred ninety-six million, two hundred forty-four thousand, two hundred twenty-four".