240416 has 24 divisors (see below), whose sum is σ = 517104. Its totient is φ = 109120.

The previous prime is 240379. The next prime is 240421. The reversal of 240416 is 614042.

240416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240394 and 240403.

It is an unprimeable number.

240416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11 + ... + 693.

It is an arithmetic number, because the mean of its divisors is an integer number (21546).

2²⁴⁰⁴¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258552).

240416 is an abundant number, since it is smaller than the sum of its proper divisors (276688).

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

240416 is a wasteful number, since it uses less digits than its factorization.

240416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 240416 is about 490.3223429541. The cubic root of 240416 is about 62.1805351913.

Adding to 240416 its reverse (614042), we get a palindrome (854458).

It can be divided in two parts, 240 and 416, that added together give a palindrome (656).

The spelling of 240416 in words is "two hundred forty thousand, four hundred sixteen".