232530431200 has 144 divisors (see below), whose sum is σ = 577121811840. Its totient is φ = 91475320320.

The previous prime is 232530431137. The next prime is 232530431219. The reversal of 232530431200 is 2134035232.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11888629 + ... + 11908171.

It is an arithmetic number, because the mean of its divisors is an integer number (4007790360).

Almost surely, 2^232530431200 is an apocalyptic number.

232530431200 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 232530431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288560905920).

232530431200 is an abundant number, since it is smaller than the sum of its proper divisors (344591380640).

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

232530431200 is a wasteful number, since it uses less digits than its factorization.

232530431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19809 (or 19796 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 232530431200 its reverse (2134035232), we get a palindrome (234664466432).

The spelling of 232530431200 in words is "two hundred thirty-two billion, five hundred thirty million, four hundred thirty-one thousand, two hundred".