11451000 has 128 divisors (see below), whose sum is σ = 39087360. Its totient is φ = 2768000.

The previous prime is 11450983. The next prime is 11451001. The reversal of 11451000 is 15411.

It is a happy number.

It is a super-2 number, since 2×11451000² = 262250802000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32827 + ... + 33173.

It is an arithmetic number, because the mean of its divisors is an integer number (305370).

Almost surely, 2^11451000 is an apocalyptic number.

11451000 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 11451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19543680).

11451000 is an abundant number, since it is smaller than the sum of its proper divisors (27636360).

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

11451000 is a wasteful number, since it uses less digits than its factorization.

11451000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 11451000 is about 3383.9326234427. The cubic root of 11451000 is about 225.3968305661.

Adding to 11451000 its reverse (15411), we get a palindrome (11466411).

It can be divided in two parts, 1145 and 1000, that added together give a triangular number (2145 = T₆₅).

The spelling of 11451000 in words is "eleven million, four hundred fifty-one thousand".