13412400 has 60 divisors (see below), whose sum is σ = 42968232. Its totient is φ = 3576320.

The previous prime is 13412387. The next prime is 13412407. The reversal of 13412400 is 421431.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 13412400.

It is not an unprimeable number, because it can be changed into a prime (13412407) 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, 4389 + ... + 6788.

Almost surely, 2^13412400 is an apocalyptic number.

13412400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13412400 is an abundant number, since it is smaller than the sum of its proper divisors (29555832).

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

13412400 is a wasteful number, since it uses less digits than its factorization.

13412400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11198 (or 11187 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 13412400 is about 3662.2943628278. The cubic root of 13412400 is about 237.5940163329.

Adding to 13412400 its reverse (421431), we get a palindrome (13833831).

It can be divided in two parts, 1341 and 2400, that added together give a triangular number (3741 = T₈₆).

The spelling of 13412400 in words is "thirteen million, four hundred twelve thousand, four hundred".