330225984 has 140 divisors (see below), whose sum is σ = 1068067968. Its totient is φ = 100051200.

The previous prime is 330225949. The next prime is 330225989. The reversal of 330225984 is 489522033.

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 (330225989) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54129 + ... + 59919.

Almost surely, 2^330225984 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 330225984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534033984).

330225984 is an abundant number, since it is smaller than the sum of its proper divisors (737841984).

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

330225984 is a wasteful number, since it uses less digits than its factorization.

330225984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5826 (or 5807 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 330225984 is about 18172.1210649720. The cubic root of 330225984 is about 691.2000289352.

The spelling of 330225984 in words is "three hundred thirty million, two hundred twenty-five thousand, nine hundred eighty-four".