1161830400 has 336 divisors, whose sum is σ = 4030480128. Its totient is φ = 294912000.

The previous prime is 1161830389. The next prime is 1161830413. The reversal of 1161830400 is 40381611.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19046370 + ... + 19046430.

Almost surely, 2^1161830400 is an apocalyptic number.

1161830400 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 1161830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015240064).

1161830400 is an abundant number, since it is smaller than the sum of its proper divisors (2868649728).

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

1161830400 is an equidigital number, since it uses as much as digits as its factorization.

1161830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1161830400 is about 34085.6333372288. The cubic root of 1161830400 is about 1051.2699373600.

The spelling of 1161830400 in words is "one billion, one hundred sixty-one million, eight hundred thirty thousand, four hundred".