13409440 has 96 divisors (see below), whose sum is σ = 36469440. Its totient is φ = 4608000.

The previous prime is 13409401. The next prime is 13409441. The reversal of 13409440 is 4490431.

It is a happy number.

It is a super-2 number, since 2×13409440² = 359626162227200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13409441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33240 + ... + 33640.

It is an arithmetic number, because the mean of its divisors is an integer number (379890).

Almost surely, 2^13409440 is an apocalyptic number.

13409440 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 13409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234720).

13409440 is an abundant number, since it is smaller than the sum of its proper divisors (23060000).

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

13409440 is a wasteful number, since it uses less digits than its factorization.

13409440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 13409440 is about 3661.8902222759. The cubic root of 13409440 is about 237.5765367361.

Adding to 13409440 its reverse (4490431), we get a palindrome (17899871).

The spelling of 13409440 in words is "thirteen million, four hundred nine thousand, four hundred forty".