330985249 has 27 divisors (see below), whose sum is σ = 406085043. Its totient is φ = 268965312.

The previous prime is 330985217. The next prime is 330985253. The reversal of 330985249 is 942589033.

The square root of 330985249 is 18193.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5832225 + 325153024 = 2415^2 + 18032^2 .

It is not a de Polignac number, because 330985249 - 2⁵ = 330985217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (330985349) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2929017 + ... + 2929129.

Almost surely, 2^330985249 is an apocalyptic number.

330985249 is the 18193-rd square number.

330985249 is the 9097-th centered octagonal number.

It is an amenable number.

330985249 is a deficient number, since it is larger than the sum of its proper divisors (75099794).

330985249 is an equidigital number, since it uses as much as digits as its factorization.

330985249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The cubic root of 330985249 is about 691.7293657263.

The spelling of 330985249 in words is "three hundred thirty million, nine hundred eighty-five thousand, two hundred forty-nine".