116431200 has 216 divisors, whose sum is σ = 417192048. Its totient is φ = 30551040.

The previous prime is 116431177. The next prime is 116431219. The reversal of 116431200 is 2134611.

It is a happy number.

116431200 is a `hidden beast` number, since 1 + 1 + 643 + 1 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 741522 + ... + 741678.

Almost surely, 2^116431200 is an apocalyptic number.

116431200 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 116431200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208596024).

116431200 is an abundant number, since it is smaller than the sum of its proper divisors (300760848).

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

116431200 is a wasteful number, since it uses less digits than its factorization.

116431200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 116431200 is about 10790.3290033252. The cubic root of 116431200 is about 488.3034482857.

Adding to 116431200 its reverse (2134611), we get a palindrome (118565811).

The spelling of 116431200 in words is "one hundred sixteen million, four hundred thirty-one thousand, two hundred".