11030400 has 144 divisors (see below), whose sum is σ = 39461760. Its totient is φ = 2933760.

The previous prime is 11030387. The next prime is 11030401. The reversal of 11030400 is 403011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11030401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28609 + ... + 28991.

It is an arithmetic number, because the mean of its divisors is an integer number (274040).

Almost surely, 2^11030400 is an apocalyptic number.

11030400 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 11030400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19730880).

11030400 is an abundant number, since it is smaller than the sum of its proper divisors (28431360).

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

11030400 is a wasteful number, since it uses less digits than its factorization.

11030400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11030400 is about 3321.2046007435. The cubic root of 11030400 is about 222.6026963538.

Adding to 11030400 its reverse (403011), we get a palindrome (11433411).

The spelling of 11030400 in words is "eleven million, thirty thousand, four hundred".