233810496 has 112 divisors (see below), whose sum is σ = 691286400. Its totient is φ = 77492736.

The previous prime is 233810491. The next prime is 233810497. The reversal of 233810496 is 694018332.

233810496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 233810496.

It is not an unprimeable number, because it can be changed into a prime (233810491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464581 + ... + 465083.

It is an arithmetic number, because the mean of its divisors is an integer number (6172200).

Almost surely, 2^233810496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233810496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345643200).

233810496 is an abundant number, since it is smaller than the sum of its proper divisors (457475904).

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

233810496 is a wasteful number, since it uses less digits than its factorization.

233810496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 233810496 is about 15290.8631541846. The cubic root of 233810496 is about 616.0576209663.

The spelling of 233810496 in words is "two hundred thirty-three million, eight hundred ten thousand, four hundred ninety-six".