330132000 has 384 divisors, whose sum is σ = 1228421376. Its totient is φ = 76800000.

The previous prime is 330131987. The next prime is 330132029. The reversal of 330132000 is 231033.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5411970 + ... + 5412030.

It is an arithmetic number, because the mean of its divisors is an integer number (3199014).

Almost surely, 2^330132000 is an apocalyptic number.

330132000 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 330132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614210688).

330132000 is an abundant number, since it is smaller than the sum of its proper divisors (898289376).

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

330132000 is a wasteful number, since it uses less digits than its factorization.

330132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 330132000 is about 18169.5349417645. The cubic root of 330132000 is about 691.1344496951.

Adding to 330132000 its reverse (231033), we get a palindrome (330363033).

It can be divided in two parts, 330 and 132000, that multiplied together give a square (43560000 = 6600²).

The spelling of 330132000 in words is "three hundred thirty million, one hundred thirty-two thousand".