116407200 has 432 divisors, whose sum is σ = 480344256. Its totient is φ = 23961600.

The previous prime is 116407171. The next prime is 116407231. The reversal of 116407200 is 2704611.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 2839180 + ... + 2839220.

It is an arithmetic number, because the mean of its divisors is an integer number (1111908).

Almost surely, 2^116407200 is an apocalyptic number.

116407200 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 116407200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240172128).

116407200 is an abundant number, since it is smaller than the sum of its proper divisors (363937056).

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

116407200 is a wasteful number, since it uses less digits than its factorization.

116407200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 116407200 is about 10789.2168390481. The cubic root of 116407200 is about 488.2698945989.

The spelling of 116407200 in words is "one hundred sixteen million, four hundred seven thousand, two hundred".