116416400 has 30 divisors (see below), whose sum is σ = 279691362. Its totient is φ = 46566400.

The previous prime is 116416397. The next prime is 116416403. The reversal of 116416400 is 4614611.

It is an interprime number because it is at equal distance from previous prime (116416397) and next prime (116416403).

It can be written as a sum of positive squares in 3 ways, for example, as 16096144 + 100320256 = 4012^2 + 10016^2 .

It is not an unprimeable number, because it can be changed into a prime (116416403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145121 + ... + 145920.

Almost surely, 2^116416400 is an apocalyptic number.

116416400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116416400 is an abundant number, since it is smaller than the sum of its proper divisors (163274962).

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

116416400 is a wasteful number, since it uses less digits than its factorization.

116416400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291059 (or 291048 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 116416400 is about 10789.6431822373. The cubic root of 116416400 is about 488.2827573905.

The spelling of 116416400 in words is "one hundred sixteen million, four hundred sixteen thousand, four hundred".