232053600 has 144 divisors (see below), whose sum is σ = 779950080. Its totient is φ = 59865600.

The previous prime is 232053581. The next prime is 232053607. The reversal of 232053600 is 6350232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232053607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72841 + ... + 75959.

It is an arithmetic number, because the mean of its divisors is an integer number (5416320).

Almost surely, 2^232053600 is an apocalyptic number.

232053600 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 232053600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389975040).

232053600 is an abundant number, since it is smaller than the sum of its proper divisors (547896480).

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

232053600 is a wasteful number, since it uses less digits than its factorization.

232053600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3160 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 232053600 is about 15233.3056163132. The cubic root of 232053600 is about 614.5106822353.

The spelling of 232053600 in words is "two hundred thirty-two million, fifty-three thousand, six hundred".