333980416 has 72 divisors (see below), whose sum is σ = 831204864. Its totient is φ = 130114560.

The previous prime is 333980411. The next prime is 333980417. The reversal of 333980416 is 614089333.

It is a super-2 number, since 2×333980416² = 223085836543066112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (333980411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11241 + ... + 28183.

It is an arithmetic number, because the mean of its divisors is an integer number (11544512).

Almost surely, 2^333980416 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 333980416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415602432).

333980416 is an abundant number, since it is smaller than the sum of its proper divisors (497224448).

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

333980416 is a wasteful number, since it uses less digits than its factorization.

333980416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16977 (or 16963 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The square root of 333980416 is about 18275.1310802413. The cubic root of 333980416 is about 693.8096464043.

It can be divided in two parts, 3339804 and 16, that added together give a triangular number (3339820 = T₂₅₈₄).

The spelling of 333980416 in words is "three hundred thirty-three million, nine hundred eighty thousand, four hundred sixteen".