1166408400 has 120 divisors (see below), whose sum is σ = 3816077184. Its totient is φ = 304409600.

The previous prime is 1166408371. The next prime is 1166408459. The reversal of 1166408400 is 48046611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×1166408400⁴ (a number of 37 digits) contains 4444 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46060 + ... + 66740.

Almost surely, 2^1166408400 is an apocalyptic number.

1166408400 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 1166408400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1908038592).

1166408400 is an abundant number, since it is smaller than the sum of its proper divisors (2649668784).

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

1166408400 is a wasteful number, since it uses less digits than its factorization.

1166408400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20749 (or 20738 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 1166408400 is about 34152.7217070616. The cubic root of 1166408400 is about 1052.6489126795.

The spelling of 1166408400 in words is "one billion, one hundred sixty-six million, four hundred eight thousand, four hundred".