332416 has 48 divisors (see below), whose sum is σ = 784890. Its totient is φ = 139776.

The previous prime is 332411. The next prime is 332417. The reversal of 332416 is 614233.

It can be written as a sum of positive squares in only one way, i.e., 254016 + 78400 = 504^2 + 280^2 .

It is a super-2 number, since 2×332416² = 221000794112, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332393 and 332402.

It is not an unprimeable number, because it can be changed into a prime (332411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6246 + ... + 6298.

2³³²⁴¹⁶ 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 332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392445).

332416 is an abundant number, since it is smaller than the sum of its proper divisors (452474).

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

332416 is an equidigital number, since it uses as much as digits as its factorization.

332416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 62 counting only the distinct ones).

The product of its digits is 432, while the sum is 19.

The square root of 332416 is about 576.5552878953. Note that the first 3 decimals coincide. The cubic root of 332416 is about 69.2724646584.

Adding to 332416 its reverse (614233), we get a palindrome (946649).

The spelling of 332416 in words is "three hundred thirty-two thousand, four hundred sixteen".