11456900 has 72 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 3623040.

The previous prime is 11456897. The next prime is 11456909. The reversal of 11456900 is 965411.

It is a super-2 number, since 2×11456900² = 262521115220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 11456900.

It is not an unprimeable number, because it can be changed into a prime (11456909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8471 + ... + 9729.

It is an arithmetic number, because the mean of its divisors is an integer number (425320).

Almost surely, 2^11456900 is an apocalyptic number.

11456900 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 11456900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

11456900 is an abundant number, since it is smaller than the sum of its proper divisors (19166140).

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

11456900 is a wasteful number, since it uses less digits than its factorization.

11456900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 11456900 is about 3384.8042779458. The cubic root of 11456900 is about 225.4355349870.

The spelling of 11456900 in words is "eleven million, four hundred fifty-six thousand, nine hundred".