13415440 has 60 divisors (see below), whose sum is σ = 32708844. Its totient is φ = 5116672.

The previous prime is 13415411. The next prime is 13415447. The reversal of 13415440 is 4451431.

It can be written as a sum of positive squares in 2 ways, for example, as 2446096 + 10969344 = 1564^2 + 3312^2 .

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (13415447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42162 + ... + 42478.

Almost surely, 2^13415440 is an apocalyptic number.

13415440 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 13415440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16354422).

13415440 is an abundant number, since it is smaller than the sum of its proper divisors (19293404).

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

13415440 is a wasteful number, since it uses less digits than its factorization.

13415440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 13415440 is about 3662.7093796806. The cubic root of 13415440 is about 237.6119656745.

Adding to 13415440 its reverse (4451431), we get a palindrome (17866871).

The spelling of 13415440 in words is "thirteen million, four hundred fifteen thousand, four hundred forty".