232073427600 has 1215 divisors, whose sum is σ = 994912624251. Its totient is φ = 49946803200.

The previous prime is 232073427587. The next prime is 232073427629. The reversal of 232073427600 is 6724370232.

The square root of 232073427600 is 481740.

It is a perfect power (a square), and thus also a powerful number.

232073427600 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 7 + 3 + 42 + 7 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22030871184 + 210042556416 = 148428^2 + 458304^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 242 ways as a sum of consecutive naturals, for example, 6272254782 + ... + 6272254818.

Almost surely, 2^232073427600 is an apocalyptic number.

232073427600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

232073427600 is the 481740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232073427600

232073427600 is an abundant number, since it is smaller than the sum of its proper divisors (762839196651).

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

232073427600 is a wasteful number, since it uses less digits than its factorization.

232073427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

Multiplying 232073427600 by its sum of digits (36), we get a square (8354643393600 = 2890440²).

232073427600 divided by its sum of digits (36) gives a square (6446484100 = 80290²).

Adding to 232073427600 its reverse (6724370232), we get a palindrome (238797797832).

The spelling of 232073427600 in words is "two hundred thirty-two billion, seventy-three million, four hundred twenty-seven thousand, six hundred".