13432400 has 30 divisors (see below), whose sum is σ = 32272302. Its totient is φ = 5372800.

The previous prime is 13432399. The next prime is 13432403. The reversal of 13432400 is 423431.

13432400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 153664 + 13278736 = 392^2 + 3644^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13432403) 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, 16391 + ... + 17190.

Almost surely, 2^13432400 is an apocalyptic number.

13432400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13432400 is an abundant number, since it is smaller than the sum of its proper divisors (18839902).

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

13432400 is a wasteful number, since it uses less digits than its factorization.

13432400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33599 (or 33588 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 13432400 is about 3665.0238744106. The cubic root of 13432400 is about 237.7120543760.

Adding to 13432400 its reverse (423431), we get a palindrome (13855831).

The spelling of 13432400 in words is "thirteen million, four hundred thirty-two thousand, four hundred".