240783840 has 288 divisors, whose sum is σ = 931222656. Its totient is φ = 58268160.

The previous prime is 240783833. The next prime is 240783847. The reversal of 240783840 is 48387042.

It is an interprime number because it is at equal distance from previous prime (240783833) and next prime (240783847).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 240783795 and 240783804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240783847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 427399 + ... + 427961.

It is an arithmetic number, because the mean of its divisors is an integer number (3233412).

Almost surely, 2^240783840 is an apocalyptic number.

240783840 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 240783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465611328).

240783840 is an abundant number, since it is smaller than the sum of its proper divisors (690438816).

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

240783840 is a wasteful number, since it uses less digits than its factorization.

240783840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 240783840 is about 15517.2110896256. The cubic root of 240783840 is about 622.1223140799.

The spelling of 240783840 in words is "two hundred forty million, seven hundred eighty-three thousand, eight hundred forty".