1166246400 has 360 divisors, whose sum is σ = 4251571632. Its totient is φ = 281600000.

The previous prime is 1166246369. The next prime is 1166246407. The reversal of 1166246400 is 46426611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1166246407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4646275 + ... + 4646525.

Almost surely, 2^1166246400 is an apocalyptic number.

1166246400 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 1166246400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2125785816).

1166246400 is an abundant number, since it is smaller than the sum of its proper divisors (3085325232).

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

1166246400 is a wasteful number, since it uses less digits than its factorization.

1166246400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 1166246400 is about 34150.3499250008. The cubic root of 1166246400 is about 1052.6001770281.

The spelling of 1166246400 in words is "one billion, one hundred sixty-six million, two hundred forty-six thousand, four hundred".