232468800 has 168 divisors, whose sum is σ = 803148000. Its totient is φ = 58705920.

The previous prime is 232468787. The next prime is 232468853. The reversal of 232468800 is 8864232.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89926 + ... + 92474.

Almost surely, 2^232468800 is an apocalyptic number.

232468800 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 232468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (401574000).

232468800 is an abundant number, since it is smaller than the sum of its proper divisors (570679200).

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

232468800 is a wasteful number, since it uses less digits than its factorization.

232468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593 (or 2578 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 232468800 is about 15246.9275593478. The cubic root of 232468800 is about 614.8769665972.

The spelling of 232468800 in words is "two hundred thirty-two million, four hundred sixty-eight thousand, eight hundred".