330749040 has 80 divisors (see below), whose sum is σ = 1031184000. Its totient is φ = 87695616.

The previous prime is 330748981. The next prime is 330749047. The reversal of 330749040 is 40947033.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 330748989 and 330749007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330749047) 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, 39111 + ... + 46809.

It is an arithmetic number, because the mean of its divisors is an integer number (12889800).

Almost surely, 2^330749040 is an apocalyptic number.

330749040 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 330749040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515592000).

330749040 is an abundant number, since it is smaller than the sum of its proper divisors (700434960).

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

330749040 is a wasteful number, since it uses less digits than its factorization.

330749040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7894 (or 7888 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 330749040 is about 18186.5070862989. The cubic root of 330749040 is about 691.5647747199.

The spelling of 330749040 in words is "three hundred thirty million, seven hundred forty-nine thousand, forty".