330249150 has 288 divisors, whose sum is σ = 1150426368. Its totient is φ = 68428800.

The previous prime is 330249131. The next prime is 330249193. The reversal of 330249150 is 51942033.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 935374 + ... + 935726.

It is an arithmetic number, because the mean of its divisors is an integer number (3994536).

Almost surely, 2^330249150 is an apocalyptic number.

330249150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 330249150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575213184).

330249150 is an abundant number, since it is smaller than the sum of its proper divisors (820177218).

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

330249150 is a wasteful number, since it uses less digits than its factorization.

330249150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 330249150 is about 18172.7584587481. The cubic root of 330249150 is about 691.2161915695.

The spelling of 330249150 in words is "three hundred thirty million, two hundred forty-nine thousand, one hundred fifty".