1158400 has 54 divisors (see below), whose sum is σ = 2883062. Its totient is φ = 460800.

The previous prime is 1158389. The next prime is 1158401. The reversal of 1158400 is 48511.

It can be written as a sum of positive squares in 3 ways, for example, as 9216 + 1149184 = 96^2 + 1072^2 .

It is a super-3 number, since 3×1158400³ = 4663338074112000000, which contains 333 as substring.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1158401) 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 5 ways as a sum of consecutive naturals, for example, 6310 + ... + 6490.

2^1158400 is an apocalyptic number.

1158400 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 1158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441531).

1158400 is an abundant number, since it is smaller than the sum of its proper divisors (1724662).

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

1158400 is an equidigital number, since it uses as much as digits as its factorization.

1158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1158400 is about 1076.2899237659. The cubic root of 1158400 is about 105.0234263679.

It can be divided in two parts, 115 and 8400, that added together give a triangular number (8515 = T₁₃₀).

The spelling of 1158400 in words is "one million, one hundred fifty-eight thousand, four hundred".