232016400 has 720 divisors, whose sum is σ = 1074597888. Its totient is φ = 46656000.

The previous prime is 232016383. The next prime is 232016401. The reversal of 232016400 is 4610232.

It is a happy number.

232016400 is a `hidden beast` number, since 2 + 3 + 20 + 1 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (232016401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7484385 + ... + 7484415.

Almost surely, 2^232016400 is an apocalyptic number.

232016400 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 232016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537298944).

232016400 is an abundant number, since it is smaller than the sum of its proper divisors (842581488).

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

232016400 is a wasteful number, since it uses less digits than its factorization.

232016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 232016400 is about 15232.0845585888. The cubic root of 232016400 is about 614.4778435305.

Adding to 232016400 its reverse (4610232), we get a palindrome (236626632).

The spelling of 232016400 in words is "two hundred thirty-two million, sixteen thousand, four hundred".