13440400 has 30 divisors (see below), whose sum is σ = 32291522. Its totient is φ = 5376000.

The previous prime is 13440397. The next prime is 13440407. The reversal of 13440400 is 404431.

It can be written as a sum of positive squares in 3 ways, for example, as 132496 + 13307904 = 364^2 + 3648^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13440407) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16401 + ... + 17200.

Almost surely, 2^13440400 is an apocalyptic number.

13440400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13440400 is an abundant number, since it is smaller than the sum of its proper divisors (18851122).

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

13440400 is a wasteful number, since it uses less digits than its factorization.

13440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33619 (or 33608 counting only the distinct ones).

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

The square root of 13440400 is about 3666.1151100313. The cubic root of 13440400 is about 237.7592367863.

Adding to 13440400 its reverse (404431), we get a palindrome (13844831).

The spelling of 13440400 in words is "thirteen million, four hundred forty thousand, four hundred".