232397200 has 180 divisors, whose sum is σ = 662582592. Its totient is φ = 78086400.

The previous prime is 232397177. The next prime is 232397201. The reversal of 232397200 is 2793232.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (232397201) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1391517 + ... + 1391683.

Almost surely, 2^232397200 is an apocalyptic number.

232397200 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 232397200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331291296).

232397200 is an abundant number, since it is smaller than the sum of its proper divisors (430185392).

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

232397200 is a wasteful number, since it uses less digits than its factorization.

232397200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 28.

The square root of 232397200 is about 15244.5793644823. The cubic root of 232397200 is about 614.8138330907.

The spelling of 232397200 in words is "two hundred thirty-two million, three hundred ninety-seven thousand, two hundred".