13416400 has 60 divisors (see below), whose sum is σ = 34146252. Its totient is φ = 5048320.

The previous prime is 13416341. The next prime is 13416457. The reversal of 13416400 is 461431.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 283024 + 13133376 = 532^2 + 3624^2 .

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 11 ways as a sum of consecutive naturals, for example, 5814 + ... + 7786.

Almost surely, 2^13416400 is an apocalyptic number.

13416400 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 13416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17073126).

13416400 is an abundant number, since it is smaller than the sum of its proper divisors (20729852).

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

13416400 is a wasteful number, since it uses less digits than its factorization.

13416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2008 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 13416400 is about 3662.8404278647. The cubic root of 13416400 is about 237.6176333242.

Adding to 13416400 its reverse (461431), we get a palindrome (13877831).

The spelling of 13416400 in words is "thirteen million, four hundred sixteen thousand, four hundred".