240432000 has 128 divisors (see below), whose sum is σ = 797191200. Its totient is φ = 64102400.

The previous prime is 240431977. The next prime is 240432007. The reversal of 240432000 is 234042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240432007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45496 + ... + 50504.

Almost surely, 2^240432000 is an apocalyptic number.

240432000 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 240432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398595600).

240432000 is an abundant number, since it is smaller than the sum of its proper divisors (556759200).

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

240432000 is an equidigital number, since it uses as much as digits as its factorization.

240432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5041 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 240432000 is about 15505.8698562835. The cubic root of 240432000 is about 621.8191455942.

Adding to 240432000 its reverse (234042), we get a palindrome (240666042).

The spelling of 240432000 in words is "two hundred forty million, four hundred thirty-two thousand".