13200400 has 60 divisors (see below), whose sum is σ = 32293444. Its totient is φ = 5184000.

The previous prime is 13200359. The next prime is 13200409. The reversal of 13200400 is 400231.

It can be written as a sum of positive squares in 6 ways, for example, as 2985984 + 10214416 = 1728^2 + 3196^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (13200409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24130 + ... + 24670.

Almost surely, 2^13200400 is an apocalyptic number.

13200400 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 13200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16146722).

13200400 is an abundant number, since it is smaller than the sum of its proper divisors (19093044).

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

13200400 is a wasteful number, since it uses less digits than its factorization.

13200400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 13200400 is about 3633.2354726882. The cubic root of 13200400 is about 236.3355372729.

Adding to 13200400 its reverse (400231), we get a palindrome (13600631).

The spelling of 13200400 in words is "thirteen million, two hundred thousand, four hundred".