233052480 has 168 divisors, whose sum is σ = 843991200. Its totient is φ = 58862592.

The previous prime is 233052467. The next prime is 233052503. The reversal of 233052480 is 84250332.

233052480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 52591 + ... + 56849.

Almost surely, 2^233052480 is an apocalyptic number.

233052480 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 233052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421995600).

233052480 is an abundant number, since it is smaller than the sum of its proper divisors (610938720).

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

233052480 is a wasteful number, since it uses less digits than its factorization.

233052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4301 (or 4288 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 233052480 is about 15266.0564652434. The cubic root of 233052480 is about 615.3911451871.

It can be divided in two parts, 23 and 3052480, that added together give a palindrome (3052503).

The spelling of 233052480 in words is "two hundred thirty-three million, fifty-two thousand, four hundred eighty".