232464960 has 336 divisors, whose sum is σ = 985211136. Its totient is φ = 48992256.

The previous prime is 232464931. The next prime is 232464983. The reversal of 232464960 is 69464232.

232464960 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 649 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 261637 + ... + 262523.

It is an arithmetic number, because the mean of its divisors is an integer number (2932176).

Almost surely, 2^232464960 is an apocalyptic number.

232464960 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 232464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492605568).

232464960 is an abundant number, since it is smaller than the sum of its proper divisors (752746176).

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

232464960 is a wasteful number, since it uses less digits than its factorization.

232464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 232464960 is about 15246.8016318177. The cubic root of 232464960 is about 614.8735809951.

The spelling of 232464960 in words is "two hundred thirty-two million, four hundred sixty-four thousand, nine hundred sixty".