232384896 has 128 divisors (see below), whose sum is σ = 722160000. Its totient is φ = 73363968.

The previous prime is 232384891. The next prime is 232384903. The reversal of 232384896 is 698483232.

232384896 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 (128).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232384891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63895 + ... + 67433.

It is an arithmetic number, because the mean of its divisors is an integer number (5641875).

Almost surely, 2^232384896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232384896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361080000).

232384896 is an abundant number, since it is smaller than the sum of its proper divisors (489775104).

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

232384896 is a wasteful number, since it uses less digits than its factorization.

232384896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3581 (or 3563 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 232384896 is about 15244.1758058611. The cubic root of 232384896 is about 614.8029826977.

The spelling of 232384896 in words is "two hundred thirty-two million, three hundred eighty-four thousand, eight hundred ninety-six".