1155400 has 48 divisors (see below), whose sum is σ = 2762100. Its totient is φ = 449280.

The previous prime is 1155379. The next prime is 1155403. The reversal of 1155400 is 45511.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 662596 + 492804 = 814^2 + 702^2 .

It is not an unprimeable number, because it can be changed into a prime (1155403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10546 + ... + 10654.

2^1155400 is an apocalyptic number.

1155400 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 1155400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381050).

1155400 is an abundant number, since it is smaller than the sum of its proper divisors (1606700).

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

1155400 is a wasteful number, since it uses less digits than its factorization.

1155400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 1155400 is about 1074.8953437428. The cubic root of 1155400 is about 104.9326855016.

The spelling of 1155400 in words is "one million, one hundred fifty-five thousand, four hundred".