240144000 has 128 divisors (see below), whose sum is σ = 796236480. Its totient is φ = 64025600.

The previous prime is 240143987. The next prime is 240144001. The reversal of 240144000 is 441042.

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 not an unprimeable number, because it can be changed into a prime (240144001) 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, 45499 + ... + 50501.

Almost surely, 2^240144000 is an apocalyptic number.

240144000 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 240144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398118240).

240144000 is an abundant number, since it is smaller than the sum of its proper divisors (556092480).

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

240144000 is an equidigital number, since it uses as much as digits as its factorization.

240144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5035 (or 5013 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 240144000 is about 15496.5802679172. The cubic root of 240144000 is about 621.5707656414.

Adding to 240144000 its reverse (441042), we get a palindrome (240585042).

The spelling of 240144000 in words is "two hundred forty million, one hundred forty-four thousand".