13424400 has 240 divisors, whose sum is σ = 52585920. Its totient is φ = 3225600.

The previous prime is 13424371. The next prime is 13424401. The reversal of 13424400 is 442431.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13424401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 118744 + ... + 118856.

It is an arithmetic number, because the mean of its divisors is an integer number (219108).

Almost surely, 2^13424400 is an apocalyptic number.

13424400 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 13424400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26292960).

13424400 is an abundant number, since it is smaller than the sum of its proper divisors (39161520).

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

13424400 is a wasteful number, since it uses less digits than its factorization.

13424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 13424400 is about 3663.9323137853. The cubic root of 13424400 is about 237.6648532282.

Adding to 13424400 its reverse (442431), we get a palindrome (13866831).

It can be divided in two parts, 13424 and 400, that added together give a cube (13824 = 24³).

The spelling of 13424400 in words is "thirteen million, four hundred twenty-four thousand, four hundred".