1116392400 has 360 divisors, whose sum is σ = 4113695040. Its totient is φ = 279797760.

The previous prime is 1116392393. The next prime is 1116392449. The reversal of 1116392400 is 42936111.

1116392400 is a `hidden beast` number, since 1 + 1 + 1 + 639 + 24 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 8031531 + ... + 8031669.

Almost surely, 2^1116392400 is an apocalyptic number.

1116392400 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 1116392400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056847520).

1116392400 is an abundant number, since it is smaller than the sum of its proper divisors (2997302640).

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

1116392400 is a wasteful number, since it uses less digits than its factorization.

1116392400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1116392400 is about 33412.4587541833. The cubic root of 1116392400 is about 1037.3825947372.

The spelling of 1116392400 in words is "one billion, one hundred sixteen million, three hundred ninety-two thousand, four hundred".