11406400 has 42 divisors (see below), whose sum is σ = 28070810. Its totient is φ = 4561920.

The previous prime is 11406391. The next prime is 11406401. The reversal of 11406400 is 460411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 1115136 + 10291264 = 1056^2 + 3208^2 .

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 (11406401) 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, 1965 + ... + 5164.

Almost surely, 2^11406400 is an apocalyptic number.

11406400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11406400 is an abundant number, since it is smaller than the sum of its proper divisors (16664410).

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

11406400 is an equidigital number, since it uses as much as digits as its factorization.

11406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7151 (or 7136 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 11406400 is about 3377.3362284499. The cubic root of 11406400 is about 225.1038204002.

Adding to 11406400 its reverse (460411), we get a palindrome (11866811).

The spelling of 11406400 in words is "eleven million, four hundred six thousand, four hundred".