240648800 has 144 divisors (see below), whose sum is σ = 685893600. Its totient is φ = 82414080.

The previous prime is 240648689. The next prime is 240648809. The reversal of 240648800 is 8846042.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240648809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273962 + ... + 274838.

It is an arithmetic number, because the mean of its divisors is an integer number (4763150).

Almost surely, 2^240648800 is an apocalyptic number.

240648800 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 240648800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342946800).

240648800 is an abundant number, since it is smaller than the sum of its proper divisors (445244800).

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

240648800 is an equidigital number, since it uses as much as digits as its factorization.

240648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 240648800 is about 15512.8591819819. The cubic root of 240648800 is about 622.0059896791.

The spelling of 240648800 in words is "two hundred forty million, six hundred forty-eight thousand, eight hundred".