240438240 has 192 divisors, whose sum is σ = 961873920. Its totient is φ = 54950400.

The previous prime is 240438239. The next prime is 240438283. The reversal of 240438240 is 42834042.

It is a happy number.

240438240 is a `hidden beast` number, since 240 + 4 + 382 + 40 = 666.

240438240 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26265 + ... + 34215.

It is an arithmetic number, because the mean of its divisors is an integer number (5009760).

Almost surely, 2^240438240 is an apocalyptic number.

240438240 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 240438240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480936960).

240438240 is an abundant number, since it is smaller than the sum of its proper divisors (721435680).

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

240438240 is a wasteful number, since it uses less digits than its factorization.

240438240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7982 (or 7968 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 240438240 is about 15506.0710691006. The cubic root of 240438240 is about 621.8245249640.

The spelling of 240438240 in words is "two hundred forty million, four hundred thirty-eight thousand, two hundred forty".