232507440 has 240 divisors, whose sum is σ = 880229376. Its totient is φ = 54489600.

The previous prime is 232507439. The next prime is 232507481. The reversal of 232507440 is 44705232.

232507440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245047 + ... + 245993.

Almost surely, 2^232507440 is an apocalyptic number.

232507440 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 232507440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440114688).

232507440 is an abundant number, since it is smaller than the sum of its proper divisors (647721936).

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

232507440 is a wasteful number, since it uses less digits than its factorization.

232507440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 232507440 is about 15248.1946472361. The cubic root of 232507440 is about 614.9110321431.

The spelling of 232507440 in words is "two hundred thirty-two million, five hundred seven thousand, four hundred forty".