13415400 has 144 divisors (see below), whose sum is σ = 46788300. Its totient is φ = 3440640.

The previous prime is 13415399. The next prime is 13415407. The reversal of 13415400 is 451431.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 9326916 + 4088484 = 3054^2 + 2022^2 .

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 (13415407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 52072 + ... + 52328.

Almost surely, 2^13415400 is an apocalyptic number.

13415400 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 13415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23394150).

13415400 is an abundant number, since it is smaller than the sum of its proper divisors (33372900).

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

13415400 is a wasteful number, since it uses less digits than its factorization.

13415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13415400 is about 3662.7039192378. The cubic root of 13415400 is about 237.6117295165.

Adding to 13415400 its reverse (451431), we get a palindrome (13866831).

The spelling of 13415400 in words is "thirteen million, four hundred fifteen thousand, four hundred".