13350400 has 120 divisors (see below), whose sum is σ = 38055600. Its totient is φ = 4546560.

The previous prime is 13350391. The next prime is 13350409. The reversal of 13350400 is 405331.

It is an interprime number because it is at equal distance from previous prime (13350391) and next prime (13350409).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13350409) 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, 89526 + ... + 89674.

It is an arithmetic number, because the mean of its divisors is an integer number (317130).

Almost surely, 2^13350400 is an apocalyptic number.

13350400 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 13350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027800).

13350400 is an abundant number, since it is smaller than the sum of its proper divisors (24705200).

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

13350400 is an equidigital number, since it uses as much as digits as its factorization.

13350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 13350400 is about 3653.8199189342. The cubic root of 13350400 is about 237.2273510165.

Adding to 13350400 its reverse (405331), we get a palindrome (13755731).

The spelling of 13350400 in words is "thirteen million, three hundred fifty thousand, four hundred".