240820440 has 256 divisors, whose sum is σ = 884736000. Its totient is φ = 51217920.

The previous prime is 240820439. The next prime is 240820451. The reversal of 240820440 is 44028042.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 240820440.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1260745 + ... + 1260935.

It is an arithmetic number, because the mean of its divisors is an integer number (3456000).

Almost surely, 2^240820440 is an apocalyptic number.

240820440 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 240820440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (442368000).

240820440 is an abundant number, since it is smaller than the sum of its proper divisors (643915560).

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

240820440 is a wasteful number, since it uses less digits than its factorization.

240820440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 240820440 is about 15518.3903804486. The cubic root of 240820440 is about 622.1538340843.

Adding to 240820440 its reverse (44028042), we get a palindrome (284848482).

The spelling of 240820440 in words is "two hundred forty million, eight hundred twenty thousand, four hundred forty".