233245440 has 288 divisors, whose sum is σ = 878592960. Its totient is φ = 58392576.

The previous prime is 233245429. The next prime is 233245471. The reversal of 233245440 is 44542332.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587322 + ... + 587718.

It is an arithmetic number, because the mean of its divisors is an integer number (3050670).

Almost surely, 2^233245440 is an apocalyptic number.

233245440 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 233245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439296480).

233245440 is an abundant number, since it is smaller than the sum of its proper divisors (645347520).

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

233245440 is a wasteful number, since it uses less digits than its factorization.

233245440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 27.

The square root of 233245440 is about 15272.3750608738. The cubic root of 233245440 is about 615.5609397299.

Adding to 233245440 its reverse (44542332), we get a palindrome (277787772).

The spelling of 233245440 in words is "two hundred thirty-three million, two hundred forty-five thousand, four hundred forty".