232012800 has 396 divisors, whose sum is σ = 890936280. Its totient is φ = 57507840.

The previous prime is 232012777. The next prime is 232012801. The reversal of 232012800 is 8210232.

232012800 = 400² + 401² + ... + 912².

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232012801) 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 35 ways as a sum of consecutive naturals, for example, 4377574 + ... + 4377626.

Almost surely, 2^232012800 is an apocalyptic number.

232012800 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 232012800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445468140).

232012800 is an abundant number, since it is smaller than the sum of its proper divisors (658923480).

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

232012800 is a wasteful number, since it uses less digits than its factorization.

232012800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 232012800 is about 15231.9663865175. The cubic root of 232012800 is about 614.4746654050.

The spelling of 232012800 in words is "two hundred thirty-two million, twelve thousand, eight hundred".