240300240 has 80 divisors (see below), whose sum is σ = 747273600. Its totient is φ = 63878656.

The previous prime is 240300233. The next prime is 240300299. The reversal of 240300240 is 42003042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84766 + ... + 87554.

It is an arithmetic number, because the mean of its divisors is an integer number (9340920).

Almost surely, 2^240300240 is an apocalyptic number.

240300240 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 240300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373636800).

240300240 is an abundant number, since it is smaller than the sum of its proper divisors (506973360).

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

240300240 is a wasteful number, since it uses less digits than its factorization.

240300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3164 (or 3158 counting only the distinct ones).

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

The square root of 240300240 is about 15501.6205604446. The cubic root of 240300240 is about 621.7055363941.

Adding to 240300240 its reverse (42003042), we get a palindrome (282303282).

It can be divided in two parts, 2403002 and 40, that added together give a palindrome (2403042).

The spelling of 240300240 in words is "two hundred forty million, three hundred thousand, two hundred forty".