330825000 has 192 divisors, whose sum is σ = 1130552640. Its totient is φ = 80000000.

The previous prime is 330824987. The next prime is 330825013. The reversal of 330825000 is 528033.

It is an interprime number because it is at equal distance from previous prime (330824987) and next prime (330825013).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 824800 + ... + 825200.

It is an arithmetic number, because the mean of its divisors is an integer number (5888295).

Almost surely, 2^330825000 is an apocalyptic number.

330825000 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 330825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565276320).

330825000 is an abundant number, since it is smaller than the sum of its proper divisors (799727640).

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

330825000 is a wasteful number, since it uses less digits than its factorization.

330825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 330825000 is about 18188.5953278421. The cubic root of 330825000 is about 691.6177123785.

It can be divided in two parts, 330 and 825000, that multiplied together give a square (272250000 = 16500²).

The spelling of 330825000 in words is "three hundred thirty million, eight hundred twenty-five thousand".