13404400 has 120 divisors (see below), whose sum is σ = 35426304. Its totient is φ = 4857600.

The previous prime is 13404383. The next prime is 13404403. The reversal of 13404400 is 440431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13404403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 285177 + ... + 285223.

Almost surely, 2^13404400 is an apocalyptic number.

13404400 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 13404400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17713152).

13404400 is an abundant number, since it is smaller than the sum of its proper divisors (22021904).

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

13404400 is a wasteful number, since it uses less digits than its factorization.

13404400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 13404400 is about 3661.2019884186. The cubic root of 13404400 is about 237.5467682598.

Adding to 13404400 its reverse (440431), we get a palindrome (13844831).

The spelling of 13404400 in words is "thirteen million, four hundred four thousand, four hundred".