330233040 has 120 divisors (see below), whose sum is σ = 1113140808. Its totient is φ = 87736320.

The previous prime is 330233027. The next prime is 330233047. The reversal of 330233040 is 40332033.

330233040 is a `hidden beast` number, since 330 + 2 + 330 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 156816 + 330076224 = 396^2 + 18168^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (330233047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241960 + ... + 243320.

Almost surely, 2^330233040 is an apocalyptic number.

330233040 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 330233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556570404).

330233040 is an abundant number, since it is smaller than the sum of its proper divisors (782907768).

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

330233040 is a wasteful number, since it uses less digits than its factorization.

330233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 330233040 is about 18172.3152074798. The cubic root of 330233040 is about 691.2049519000.

Adding to 330233040 its reverse (40332033), we get a palindrome (370565073).

It can be divided in two parts, 33023 and 3040, that added together give a palindrome (36063).

The spelling of 330233040 in words is "three hundred thirty million, two hundred thirty-three thousand, forty".