233403120 has 200 divisors, whose sum is σ = 819218400. Its totient is φ = 61585920.

The previous prime is 233403113. The next prime is 233403133. The reversal of 233403120 is 21304332.

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

It is a junction number, because it is equal to n+sod(n) for n = 233403093 and 233403102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1172781 + ... + 1172979.

It is an arithmetic number, because the mean of its divisors is an integer number (4096092).

Almost surely, 2^233403120 is an apocalyptic number.

233403120 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 233403120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409609200).

233403120 is an abundant number, since it is smaller than the sum of its proper divisors (585815280).

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

233403120 is a wasteful number, since it uses less digits than its factorization.

233403120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 233403120 is about 15277.5364506193. The cubic root of 233403120 is about 615.6996202333.

Adding to 233403120 its reverse (21304332), we get a palindrome (254707452).

The spelling of 233403120 in words is "two hundred thirty-three million, four hundred three thousand, one hundred twenty".