240340800 has 336 divisors, whose sum is σ = 943368192. Its totient is φ = 52377600.

The previous prime is 240340787. The next prime is 240340801. The reversal of 240340800 is 8043042.

It is a happy number.

240340800 is digitally balanced in base 3, 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 (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240340801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 772645 + ... + 772955.

Almost surely, 2^240340800 is an apocalyptic number.

240340800 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 240340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471684096).

240340800 is an abundant number, since it is smaller than the sum of its proper divisors (703027392).

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

240340800 is a wasteful number, since it uses less digits than its factorization.

240340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 240340800 is about 15502.9287555610. The cubic root of 240340800 is about 621.7405134128.

Adding to 240340800 its reverse (8043042), we get a palindrome (248383842).

The spelling of 240340800 in words is "two hundred forty million, three hundred forty thousand, eight hundred".