333328840 has 64 divisors (see below), whose sum is σ = 812674800. Its totient is φ = 123042816.

The previous prime is 333328829. The next prime is 333328847. The reversal of 333328840 is 48823333.

It can be written as a sum of positive squares in 8 ways, for example, as 59691076 + 273637764 = 7726^2 + 16542^2 .

It is a super-2 number, since 2×333328840² = 222216231151491200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 333328796 and 333328805.

It is not an unprimeable number, because it can be changed into a prime (333328847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85984 + ... + 89776.

Almost surely, 2^333328840 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 333328840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406337400).

333328840 is an abundant number, since it is smaller than the sum of its proper divisors (479345960).

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

333328840 is a wasteful number, since it uses less digits than its factorization.

333328840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 333328840 is about 18257.2955280896. The cubic root of 333328840 is about 693.3581588333.

The spelling of 333328840 in words is "three hundred thirty-three million, three hundred twenty-eight thousand, eight hundred forty".