12465440 has 72 divisors (see below), whose sum is σ = 31958388. Its totient is φ = 4592640.

The previous prime is 12465421. The next prime is 12465443. The reversal of 12465440 is 4456421.

It can be written as a sum of positive squares in 6 ways, for example, as 659344 + 11806096 = 812^2 + 3436^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12465443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26810 + ... + 27270.

Almost surely, 2^12465440 is an apocalyptic number.

12465440 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 12465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15979194).

12465440 is an abundant number, since it is smaller than the sum of its proper divisors (19492948).

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

12465440 is a wasteful number, since it uses less digits than its factorization.

12465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 12465440 is about 3530.6430009277. The cubic root of 12465440 is about 231.8653598480.

The spelling of 12465440 in words is "twelve million, four hundred sixty-five thousand, four hundred forty".