330953040 has 200 divisors, whose sum is σ = 1254214368. Its totient is φ = 80213760.

The previous prime is 330952987. The next prime is 330953047. The reversal of 330953040 is 40359033.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 330952995 and 330953013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330953047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68959 + ... + 73601.

Almost surely, 2^330953040 is an apocalyptic number.

330953040 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 330953040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627107184).

330953040 is an abundant number, since it is smaller than the sum of its proper divisors (923261328).

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

330953040 is a wasteful number, since it uses less digits than its factorization.

330953040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4679 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 330953040 is about 18192.1147753635. The cubic root of 330953040 is about 691.7069270286.

The spelling of 330953040 in words is "three hundred thirty million, nine hundred fifty-three thousand, forty".