231328800 has 324 divisors, whose sum is σ = 870588810. Its totient is φ = 57784320.

The previous prime is 231328771. The next prime is 231328807. The reversal of 231328800 is 8823132.

It can be written as a sum of positive squares in 3 ways, for example, as 135210384 + 96118416 = 11628^2 + 9804^2 .

It is not an unprimeable number, because it can be changed into a prime (231328807) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 2599156 + ... + 2599244.

Almost surely, 2^231328800 is an apocalyptic number.

231328800 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 231328800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435294405).

231328800 is an abundant number, since it is smaller than the sum of its proper divisors (639260010).

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

231328800 is a wasteful number, since it uses less digits than its factorization.

231328800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 231328800 is about 15209.4970331040. The cubic root of 231328800 is about 613.8702240692.

It can be divided in two parts, 2313 and 28800, that added together give a palindrome (31113).

The spelling of 231328800 in words is "two hundred thirty-one million, three hundred twenty-eight thousand, eight hundred".