232753400 has 96 divisors (see below), whose sum is σ = 603175680. Its totient is φ = 82800000.

The previous prime is 232753397. The next prime is 232753403. The reversal of 232753400 is 4357232.

It is an interprime number because it is at equal distance from previous prime (232753397) and next prime (232753403).

It is a self number, because there is not a number n which added to its sum of digits gives 232753400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232753403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102275 + ... + 104525.

It is an arithmetic number, because the mean of its divisors is an integer number (6283080).

Almost surely, 2^232753400 is an apocalyptic number.

232753400 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 232753400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301587840).

232753400 is an abundant number, since it is smaller than the sum of its proper divisors (370422280).

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

232753400 is a wasteful number, since it uses less digits than its factorization.

232753400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 26.

The square root of 232753400 is about 15256.2577324847. The cubic root of 232753400 is about 615.1277853753.

The spelling of 232753400 in words is "two hundred thirty-two million, seven hundred fifty-three thousand, four hundred".