232384464000 has 960 divisors, whose sum is σ = 935461149480. Its totient is φ = 57148416000.

The previous prime is 232384463989. The next prime is 232384464017. The reversal of 232384464000 is 464483232.

232384464000 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 8 + 4 + 4 + 640 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 57934564416 + 174449899584 = 240696^2 + 417672^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 219023470 + ... + 219024530.

Almost surely, 2^232384464000 is an apocalyptic number.

232384464000 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 232384464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467730574740).

232384464000 is an abundant number, since it is smaller than the sum of its proper divisors (703076685480).

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

232384464000 is a wasteful number, since it uses less digits than its factorization.

232384464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 232384464000 in words is "two hundred thirty-two billion, three hundred eighty-four million, four hundred sixty-four thousand".