232960000 has 260 divisors, whose sum is σ = 716483152. Its totient is φ = 73728000.

The previous prime is 232959983. The next prime is 232960003. The reversal of 232960000 is 69232.

It is a tau number, because it is divible by the number of its divisors (260).

It is not an unprimeable number, because it can be changed into a prime (232960003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 17919994 + ... + 17920006.

Almost surely, 2^232960000 is an apocalyptic number.

232960000 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 232960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358241576).

232960000 is an abundant number, since it is smaller than the sum of its proper divisors (483523152).

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

232960000 is an frugal number, since it uses more digits than its factorization.

232960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 232960000 is about 15263.0272226711. The cubic root of 232960000 is about 615.3097344785.

The spelling of 232960000 in words is "two hundred thirty-two million, nine hundred sixty thousand".