232240400 has 270 divisors, whose sum is σ = 706294638. Its totient is φ = 73113600.

The previous prime is 232240303. The next prime is 232240409. The reversal of 232240400 is 4042232.

It can be written as a sum of positive squares in 9 ways, for example, as 57577744 + 174662656 = 7588^2 + 13216^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232240409) 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, 5664380 + ... + 5664420.

Almost surely, 2^232240400 is an apocalyptic number.

232240400 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 232240400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353147319).

232240400 is an abundant number, since it is smaller than the sum of its proper divisors (474054238).

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

232240400 is a wasteful number, since it uses less digits than its factorization.

232240400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 232240400 is about 15239.4356850902. The cubic root of 232240400 is about 614.6755289311.

Adding to 232240400 its reverse (4042232), we get a palindrome (236282632).

The spelling of 232240400 in words is "two hundred thirty-two million, two hundred forty thousand, four hundred".