232991424000 has 640 divisors, whose sum is σ = 869307753600. Its totient is φ = 61511270400.

The previous prime is 232991423989. The next prime is 232991424007. The reversal of 232991424000 is 424199232.

232991424000 is a `hidden beast` number, since 2 + 329 + 91 + 4 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232991424007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 188351382 + ... + 188352618.

It is an arithmetic number, because the mean of its divisors is an integer number (1358293365).

Almost surely, 2^232991424000 is an apocalyptic number.

232991424000 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 232991424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434653876800).

232991424000 is an abundant number, since it is smaller than the sum of its proper divisors (636316329600).

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

232991424000 is a wasteful number, since it uses less digits than its factorization.

232991424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 232991424000 in words is "two hundred thirty-two billion, nine hundred ninety-one million, four hundred twenty-four thousand".