330190848 has 234 divisors, whose sum is σ = 1052265006. Its totient is φ = 99680256.

The previous prime is 330190843. The next prime is 330190867. The reversal of 330190848 is 848091033.

It can be written as a sum of positive squares in 3 ways, for example, as 4460544 + 325730304 = 2112^2 + 18048^2 .

It is a tau number, because it is divible by the number of its divisors (234).

It is a super-2 number, since 2×330190848² = 218051992205918208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330190841) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6229990 + ... + 6230042.

It is an arithmetic number, because the mean of its divisors is an integer number (4496859).

Almost surely, 2^330190848 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 330190848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526132503).

330190848 is an abundant number, since it is smaller than the sum of its proper divisors (722074158).

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

330190848 is a wasteful number, since it uses less digits than its factorization.

330190848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 330190848 is about 18171.1542836442. The cubic root of 330190848 is about 691.1755135358.

It can be divided in two parts, 3301 and 90848, that added together give a palindrome (94149).

The spelling of 330190848 in words is "three hundred thirty million, one hundred ninety thousand, eight hundred forty-eight".