232950288480 has 768 divisors, whose sum is σ = 929901772800. Its totient is φ = 48706043904.

The previous prime is 232950288457. The next prime is 232950288497. The reversal of 232950288480 is 84882059232.

232950288480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 271820212 + ... + 271821068.

It is an arithmetic number, because the mean of its divisors is an integer number (1210809600).

Almost surely, 2^232950288480 is an apocalyptic number.

232950288480 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 232950288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464950886400).

232950288480 is an abundant number, since it is smaller than the sum of its proper divisors (696951484320).

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

232950288480 is a wasteful number, since it uses less digits than its factorization.

232950288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 232950288480 in words is "two hundred thirty-two billion, nine hundred fifty million, two hundred eighty-eight thousand, four hundred eighty".