1161230400 has 252 divisors, whose sum is σ = 4503109104. Its totient is φ = 281472000.

The previous prime is 1161230381. The next prime is 1161230449. The reversal of 1161230400 is 40321611.

It is a happy number.

1161230400 is a `hidden beast` number, since 11 + 612 + 3 + 0 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154735 + ... + 162065.

Almost surely, 2^1161230400 is an apocalyptic number.

1161230400 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 1161230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251554552).

1161230400 is an abundant number, since it is smaller than the sum of its proper divisors (3341878704).

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

1161230400 is a wasteful number, since it uses less digits than its factorization.

1161230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7370 (or 7352 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1161230400 is about 34076.8308385624. The cubic root of 1161230400 is about 1051.0889383162.

The spelling of 1161230400 in words is "one billion, one hundred sixty-one million, two hundred thirty thousand, four hundred".