330045840 has 300 divisors, whose sum is σ = 1206816732. Its totient is φ = 83566080.

The previous prime is 330045817. The next prime is 330045841. The reversal of 330045840 is 48540033.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 179345664 + 150700176 = 13392^2 + 12276^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330045841) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6227254 + ... + 6227306.

Almost surely, 2^330045840 is an apocalyptic number.

330045840 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 330045840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603408366).

330045840 is an abundant number, since it is smaller than the sum of its proper divisors (876770892).

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

330045840 is a wasteful number, since it uses less digits than its factorization.

330045840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 330045840 is about 18167.1637852473. The cubic root of 330045840 is about 691.0743188733.

Adding to 330045840 its reverse (48540033), we get a palindrome (378585873).

The spelling of 330045840 in words is "three hundred thirty million, forty-five thousand, eight hundred forty".