233004240 has 240 divisors, whose sum is σ = 906691968. Its totient is φ = 52521984.

The previous prime is 233004209. The next prime is 233004251. The reversal of 233004240 is 42400332.

233004240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

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, 418042 + ... + 418598.

Almost surely, 2^233004240 is an apocalyptic number.

233004240 is a gapful number since it is divisible by the number (20) 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 233004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453345984).

233004240 is an abundant number, since it is smaller than the sum of its proper divisors (673687728).

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

233004240 is a wasteful number, since it uses less digits than its factorization.

233004240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 233004240 is about 15264.4764076597. The cubic root of 233004240 is about 615.3486819082.

Adding to 233004240 its reverse (42400332), we get a palindrome (275404572).

The spelling of 233004240 in words is "two hundred thirty-three million, four thousand, two hundred forty".