12415440 has 120 divisors (see below), whose sum is σ = 41113440. Its totient is φ = 3098624.

The previous prime is 12415439. The next prime is 12415453. The reversal of 12415440 is 4451421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 69271 + ... + 69449.

It is an arithmetic number, because the mean of its divisors is an integer number (342612).

Almost surely, 2^12415440 is an apocalyptic number.

12415440 is a gapful number since it is divisible by the number (10) 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 12415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20556720).

12415440 is an abundant number, since it is smaller than the sum of its proper divisors (28698000).

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

12415440 is a wasteful number, since it uses less digits than its factorization.

12415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 12415440 is about 3523.5550229846. Note that the first 3 decimals coincide. The cubic root of 12415440 is about 231.5549334966.

Adding to 12415440 its reverse (4451421), we get a palindrome (16866861).

The spelling of 12415440 in words is "twelve million, four hundred fifteen thousand, four hundred forty".