332416224 has 288 divisors, whose sum is σ = 1162377216. Its totient is φ = 91445760.

The previous prime is 332416199. The next prime is 332416237. The reversal of 332416224 is 422614233.

332416224 is a `hidden beast` number, since 3 + 32 + 4 + 1 + 622 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×332416224² = 221001091956836352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a nialpdrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1687294 + ... + 1687490.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2^332416224 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 332416224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581188608).

332416224 is an abundant number, since it is smaller than the sum of its proper divisors (829960992).

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

332416224 is a wasteful number, since it uses less digits than its factorization.

332416224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 240 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 332416224 is about 18232.2852105818. The cubic root of 332416224 is about 692.7248021826.

The spelling of 332416224 in words is "three hundred thirty-two million, four hundred sixteen thousand, two hundred twenty-four".