11000400 has 120 divisors (see below), whose sum is σ = 35979840. Its totient is φ = 2872320.

The previous prime is 11000399. The next prime is 11000401. The reversal of 11000400 is 400011.

11000400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11000399) and next prime (11000401).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11000401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106749 + ... + 106851.

It is an arithmetic number, because the mean of its divisors is an integer number (299832).

Almost surely, 2^11000400 is an apocalyptic number.

11000400 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 11000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989920).

11000400 is an abundant number, since it is smaller than the sum of its proper divisors (24979440).

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

11000400 is a wasteful number, since it uses less digits than its factorization.

11000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 11000400 is about 3316.6850920761. The cubic root of 11000400 is about 222.4007047577.

Adding to 11000400 its reverse (400011), we get a palindrome (11400411).

The spelling of 11000400 in words is "eleven million, four hundred", and thus it is an aban number.