11408000 has 128 divisors (see below), whose sum is σ = 30551040. Its totient is φ = 4224000.

The previous prime is 11407993. The next prime is 11408017. The reversal of 11408000 is 80411.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367985 + ... + 368015.

It is an arithmetic number, because the mean of its divisors is an integer number (238680).

Almost surely, 2^11408000 is an apocalyptic number.

11408000 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 11408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15275520).

11408000 is an abundant number, since it is smaller than the sum of its proper divisors (19143040).

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

11408000 is an equidigital number, since it uses as much as digits as its factorization.

11408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 11408000 is about 3377.5730932135. The cubic root of 11408000 is about 225.1143451720.

Adding to 11408000 its reverse (80411), we get a palindrome (11488411).

The spelling of 11408000 in words is "eleven million, four hundred eight thousand".