232326412800 has 480 divisors, whose sum is σ = 790239248832. Its totient is φ = 60144353280.

The previous prime is 232326412753. The next prime is 232326412807. The reversal of 232326412800 is 8214623232.

232326412800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is not an unprimeable number, because it can be changed into a prime (232326412807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187813782 + ... + 187815018.

Almost surely, 2^232326412800 is an apocalyptic number.

232326412800 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 232326412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395119624416).

232326412800 is an abundant number, since it is smaller than the sum of its proper divisors (557912836032).

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

232326412800 is a wasteful number, since it uses less digits than its factorization.

232326412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1408 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 232326412800 in words is "two hundred thirty-two billion, three hundred twenty-six million, four hundred twelve thousand, eight hundred".