333468240 has 320 divisors, whose sum is σ = 1287536640. Its totient is φ = 69672960.

The previous prime is 333468217. The next prime is 333468241. The reversal of 333468240 is 42864333.

It is a super-2 number, since 2×333468240² = 222402134177395200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (333468241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 989352 + ... + 989688.

It is an arithmetic number, because the mean of its divisors is an integer number (4023552).

Almost surely, 2^333468240 is an apocalyptic number.

333468240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 333468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643768320).

333468240 is an abundant number, since it is smaller than the sum of its proper divisors (954068400).

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

333468240 is a wasteful number, since it uses less digits than its factorization.

333468240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 33.

The square root of 333468240 is about 18261.1127809890. The cubic root of 333468240 is about 693.4548007927.

The spelling of 333468240 in words is "three hundred thirty-three million, four hundred sixty-eight thousand, two hundred forty".