333782480 has 40 divisors (see below), whose sum is σ = 781211904. Its totient is φ = 132624000.

The previous prime is 333782467. The next prime is 333782483. The reversal of 333782480 is 84287333.

333782480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×333782480² = 222821487909900800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333782483) 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, 1736 + ... + 25895.

Almost surely, 2^333782480 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 333782480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390605952).

333782480 is an abundant number, since it is smaller than the sum of its proper divisors (447429424).

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

333782480 is a wasteful number, since it uses less digits than its factorization.

333782480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27795 (or 27789 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 333782480 is about 18269.7148308341. The cubic root of 333782480 is about 693.6725554868.

The spelling of 333782480 in words is "three hundred thirty-three million, seven hundred eighty-two thousand, four hundred eighty".