13478400 has 300 divisors, whose sum is σ = 53721822. Its totient is φ = 3317760.

The previous prime is 13478389. The next prime is 13478401. The reversal of 13478400 is 487431.

It can be written as a sum of positive squares in 3 ways, for example, as 7485696 + 5992704 = 2736^2 + 2448^2 .

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13478401) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1036794 + ... + 1036806.

Almost surely, 2^13478400 is an apocalyptic number.

13478400 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 13478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26860911).

13478400 is an abundant number, since it is smaller than the sum of its proper divisors (40243422).

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

13478400 is an equidigital number, since it uses as much as digits as its factorization.

13478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 13478400 is about 3671.2940497868. The cubic root of 13478400 is about 237.9830979217.

The spelling of 13478400 in words is "thirteen million, four hundred seventy-eight thousand, four hundred".