232432400 has 60 divisors (see below), whose sum is σ = 564779700. Its totient is φ = 91914240.

The previous prime is 232432399. The next prime is 232432423. The reversal of 232432400 is 4234232.

232432400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 63744256 + 168688144 = 7984^2 + 12988^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a nialpdrome in base 16.

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 11 ways as a sum of consecutive naturals, for example, 32336 + ... + 38864.

It is an arithmetic number, because the mean of its divisors is an integer number (9412995).

Almost surely, 2^232432400 is an apocalyptic number.

232432400 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 232432400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282389850).

232432400 is an abundant number, since it is smaller than the sum of its proper divisors (332347300).

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

232432400 is a wasteful number, since it uses less digits than its factorization.

232432400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6636 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 232432400 is about 15245.7338295013. The cubic root of 232432400 is about 614.8448724125.

Adding to 232432400 its reverse (4234232), we get a palindrome (236666632).

The spelling of 232432400 in words is "two hundred thirty-two million, four hundred thirty-two thousand, four hundred".