13409200 has 60 divisors (see below), whose sum is σ = 36825520. Its totient is φ = 4596480.

The previous prime is 13409177. The next prime is 13409251. The reversal of 13409200 is 290431.

13409200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a zygodrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 406 + ... + 5194.

Almost surely, 2^13409200 is an apocalyptic number.

13409200 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 13409200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18412760).

13409200 is an abundant number, since it is smaller than the sum of its proper divisors (23416320).

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

13409200 is a wasteful number, since it uses less digits than its factorization.

13409200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4814 (or 4803 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 13409200 is about 3661.8574521682. The cubic root of 13409200 is about 237.5751193588.

Adding to 13409200 its reverse (290431), we get a palindrome (13699631).

The spelling of 13409200 in words is "thirteen million, four hundred nine thousand, two hundred".