332104416 has 96 divisors (see below), whose sum is σ = 1000097280. Its totient is φ = 94526976.

The previous prime is 332104379. The next prime is 332104447. The reversal of 332104416 is 614401233.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×332104416² = 220586686253402112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 212245 + ... + 213803.

It is an arithmetic number, because the mean of its divisors is an integer number (10417680).

Almost surely, 2^332104416 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 332104416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500048640).

332104416 is an abundant number, since it is smaller than the sum of its proper divisors (667992864).

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

332104416 is a wasteful number, since it uses less digits than its factorization.

332104416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 332104416 is about 18223.7322192793. The cubic root of 332104416 is about 692.5081413719.

Adding to 332104416 its reverse (614401233), we get a palindrome (946505649).

It can be divided in two parts, 332104 and 416, that added together give a triangular number (332520 = T₈₁₅).

The spelling of 332104416 in words is "three hundred thirty-two million, one hundred four thousand, four hundred sixteen".