332806416 has 160 divisors (see below), whose sum is σ = 954010368. Its totient is φ = 99532800.

The previous prime is 332806403. The next prime is 332806447. The reversal of 332806416 is 614608233.

It is a super-2 number, since 2×332806416² = 221520221061530112, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 2203941 + ... + 2204091.

Almost surely, 2^332806416 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 332806416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477005184).

332806416 is an abundant number, since it is smaller than the sum of its proper divisors (621203952).

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

332806416 is a wasteful number, since it uses less digits than its factorization.

332806416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 332806416 is about 18242.9826508715. The cubic root of 332806416 is about 692.9957376016.

The spelling of 332806416 in words is "three hundred thirty-two million, eight hundred six thousand, four hundred sixteen".