232873600 has 96 divisors (see below), whose sum is σ = 585191340. Its totient is φ = 91545600.

The previous prime is 232873583. The next prime is 232873601. The reversal of 232873600 is 6378232.

It can be written as a sum of positive squares in 6 ways, for example, as 27123264 + 205750336 = 5208^2 + 14344^2 .

It is a super-2 number, since 2×232873600² = 108460227153920000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232873601) 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 11 ways as a sum of consecutive naturals, for example, 194604 + ... + 195796.

Almost surely, 2^232873600 is an apocalyptic number.

232873600 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 232873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292595670).

232873600 is an abundant number, since it is smaller than the sum of its proper divisors (352317740).

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

232873600 is a wasteful number, since it uses less digits than its factorization.

232873600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 232873600 is about 15260.1965911321. The cubic root of 232873600 is about 615.2336565614.

The spelling of 232873600 in words is "two hundred thirty-two million, eight hundred seventy-three thousand, six hundred".