13274400 has 72 divisors (see below), whose sum is σ = 43215984. Its totient is φ = 3539200.

The previous prime is 13274383. The next prime is 13274411. The reversal of 13274400 is 447231.

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, 366 + ... + 5165.

It is an arithmetic number, because the mean of its divisors is an integer number (600222).

Almost surely, 2^13274400 is an apocalyptic number.

13274400 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 13274400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21607992).

13274400 is an abundant number, since it is smaller than the sum of its proper divisors (29941584).

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

13274400 is a wasteful number, since it uses less digits than its factorization.

13274400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5554 (or 5541 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 13274400 is about 3643.4050008200. The cubic root of 13274400 is about 236.7763383346.

The spelling of 13274400 in words is "thirteen million, two hundred seventy-four thousand, four hundred".