13406400 has 378 divisors, whose sum is σ = 58346340. Its totient is φ = 2903040.

The previous prime is 13406389. The next prime is 13406417. The reversal of 13406400 is 460431.

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 705591 + ... + 705609.

Almost surely, 2^13406400 is an apocalyptic number.

13406400 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 13406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29173170).

13406400 is an abundant number, since it is smaller than the sum of its proper divisors (44939940).

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

13406400 is a wasteful number, since it uses less digits than its factorization.

13406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 13406400 is about 3661.4751125742. The cubic root of 13406400 is about 237.5585820401.

Adding to 13406400 its reverse (460431), we get a palindrome (13866831).

The spelling of 13406400 in words is "thirteen million, four hundred six thousand, four hundred".