12409440 has 96 divisors (see below), whose sum is σ = 39626496. Its totient is φ = 3264000.

The previous prime is 12409433. The next prime is 12409459. The reversal of 12409440 is 4490421.

12409440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×12409440² = 307988402227200, which contains 22 as substring.

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 12409440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49315 + ... + 49565.

It is an arithmetic number, because the mean of its divisors is an integer number (412776).

Almost surely, 2^12409440 is an apocalyptic number.

12409440 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 12409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19813248).

12409440 is an abundant number, since it is smaller than the sum of its proper divisors (27217056).

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

12409440 is a wasteful number, since it uses less digits than its factorization.

12409440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 12409440 is about 3522.7035072512. The cubic root of 12409440 is about 231.5176263622.

Adding to 12409440 its reverse (4490421), we get a palindrome (16899861).

The spelling of 12409440 in words is "twelve million, four hundred nine thousand, four hundred forty".