233047440 has 120 divisors (see below), whose sum is σ = 794496768. Its totient is φ = 61205760.

The previous prime is 233047411. The next prime is 233047453. The reversal of 233047440 is 44740332.

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

It is a super-2 number, since 2×233047440² = 108622218581107200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45825 + ... + 50655.

Almost surely, 2^233047440 is an apocalyptic number.

233047440 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 233047440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397248384).

233047440 is an abundant number, since it is smaller than the sum of its proper divisors (561449328).

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

233047440 is a wasteful number, since it uses less digits than its factorization.

233047440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4917 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 27.

The square root of 233047440 is about 15265.8913922509. The cubic root of 233047440 is about 615.3867089993.

Adding to 233047440 its reverse (44740332), we get a palindrome (277787772).

It can be divided in two parts, 2330 and 47440, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 233047440 in words is "two hundred thirty-three million, forty-seven thousand, four hundred forty".