11410400 has 72 divisors (see below), whose sum is σ = 29529360. Its totient is φ = 4290560.

The previous prime is 11410391. The next prime is 11410429. The reversal of 11410400 is 401411.

11410400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13181 + ... + 14019.

It is an arithmetic number, because the mean of its divisors is an integer number (410130).

Almost surely, 2^11410400 is an apocalyptic number.

11410400 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 11410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764680).

11410400 is an abundant number, since it is smaller than the sum of its proper divisors (18118960).

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

11410400 is a wasteful number, since it uses less digits than its factorization.

11410400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 11410400 is about 3377.9283592166. The cubic root of 11410400 is about 225.1301304848.

Adding to 11410400 its reverse (401411), we get a palindrome (11811811).

The spelling of 11410400 in words is "eleven million, four hundred ten thousand, four hundred".