233444640 has 384 divisors, whose sum is σ = 914457600. Its totient is φ = 49213440.

The previous prime is 233444639. The next prime is 233444647. The reversal of 233444640 is 46444332.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 233444598 and 233444607.

It is not an unprimeable number, because it can be changed into a prime (233444647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1304071 + ... + 1304249.

It is an arithmetic number, because the mean of its divisors is an integer number (2381400).

Almost surely, 2^233444640 is an apocalyptic number.

233444640 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 233444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457228800).

233444640 is an abundant number, since it is smaller than the sum of its proper divisors (681012960).

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

233444640 is a wasteful number, since it uses less digits than its factorization.

233444640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

The square root of 233444640 is about 15278.8952480210. The cubic root of 233444640 is about 615.7361269326.

Adding to 233444640 its reverse (46444332), we get a palindrome (279888972).

The spelling of 233444640 in words is "two hundred thirty-three million, four hundred forty-four thousand, six hundred forty".