13422400 has 42 divisors (see below), whose sum is σ = 33031430. Its totient is φ = 5368320.

The previous prime is 13422397. The next prime is 13422419. The reversal of 13422400 is 422431.

It can be written as a sum of positive squares in 3 ways, for example, as 2611456 + 10810944 = 1616^2 + 3288^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2595 + ... + 5794.

Almost surely, 2^13422400 is an apocalyptic number.

13422400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13422400 is an abundant number, since it is smaller than the sum of its proper divisors (19609030).

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

13422400 is an equidigital number, since it uses as much as digits as its factorization.

13422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8411 (or 8396 counting only the distinct ones).

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

The square root of 13422400 is about 3663.6593728129. The cubic root of 13422400 is about 237.6530500113.

Adding to 13422400 its reverse (422431), we get a palindrome (13844831).

The spelling of 13422400 in words is "thirteen million, four hundred twenty-two thousand, four hundred".